The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:
Case 1: For card p:Initial amount = p = $726.19
The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)
Years for which amount is compounded = 4 years, Thus, t = 4
The interest is compounding semiannually, that means twice per year, thus, n = 2
Thus, the final amount in card p after 4 years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)[/tex]
Case 2: For card q:Initial amount = p = $855.20
The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)
Years for which amount is compounded = 4 years, Thus, t = 4
The interest is compounding monthly, that means twelve times per year, thus, n = 12
Thus, the final amount in card q after 4 years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)[/tex]
Clearly card q has more amount than card p at the end of 4 years.
The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)
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Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0. 8. Explain your reasoning.
12 shade out of 15 boxes which gives 0.8 chance of picking a shaded one.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
There are 15 sections given
To make the probability of choosing a shaded section randomly 0.8,
So,
0.8 of 15
0.8 is equal to 80%
we need to figure out 80% of the 15
80% of 15
80% × 15
= 12
Hence, we would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one.
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State the domain and range and determine if it's a function?
Help!!!
A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side?
Answer:
36
Step-by-step explanation:
For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.
By the triangle inequality theorem, 19+18>x, which means x<37.
So, the largest possible whole number length for the third side is 36.
Hazel and 4 of her friends bought tickets for a baseball game. They received a $30 group discount. If the total cost was under $125, how much could each ticket have been?
Each ticket could have cost up to $31.
What is the discount?
A discount is a reduction in the price of an item or service. It is often offered as an incentive to encourage customers to purchase or use a particular product or service. The discount amount may be a percentage of the total price, a fixed dollar amount, or a combination of both.
Let the cost of each ticket be $x. Then the total cost for 5 tickets would be 5x. After applying the $30 group discount, the total cost would be 5x - $30.
We know that the total cost was under $125, so we can set up the inequality:
5x - $30 < $125
Simplifying this inequality, we get:
5x < $155
Dividing both sides by 5, we get:
x < $31
Hence, each ticket could have cost up to $31.
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Help me please I’m struggling with this subject :/
Answer:
I believe the answer is 135 square feet.
Step-by-step explanation:
so 10x12=120. 10x3=30 and you divide the triangle by 2 so 30/2=15. 120+15=135
well, we don't know the cost of the carpet, however hmmm we know the cost of the carpet is 4 bucks per ft², which means we need to know how many ft² the Randall family is going to use in the first place hmmmm, Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=10 \end{cases}\implies \begin{array}{llll} A=\cfrac{10(12+15)}{2} \\\\\\ A=\cfrac{10(27)}{2}\implies A=135~ft^2 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{per~ft^2}{(4)}~~\stackrel{area~in~ft^2}{(135)}\implies \stackrel{\$}{540}\impliedby \textit{total cost}[/tex]
James has 13. 7 ounces of trail mix. He shares the trail mix equally with his sister. How much trail mix does each person get?
6. 35 oz
6. 85 oz
7. 35 oz
7. 7 oz
Step-by-step explanation:
13.7 divide by 2 because he and his sister are sharing the trail mix.13.7 = 2x6=12 so 13-12=1 and bring down the 7 so 2x8=16 17-16=11 so 2x5=10 11-10=1. But don't put 6.851 put 6.85 ounces.Please help I will give brainliest.
Answer:
The first two
Step-by-step explanation:
graph the parabola to see
Write the word sentence as an equation.
5 is one-fourth of a number c. PLEASE HELP
Whats the equation of a circle with the center point of 1, -1 and a radius of. 5
Step-by-step explanation:
For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.
This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.
A teacher used the change of base formula to determine whether the equation below is correct. (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = 3 Which statement explains whether the equation is correct? The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log (2 times 10) times log (4 times 8) times log (10 times 4). = log (20) times log (32) times log (40). =3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 4. The equation is not correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log StartFraction 10 Over 2 EndFraction times log eight-fourths times log four-tenths. = log 5 times log 2 times log 0. 4. = negative 0. 8.
The solution to the problem is correct and the correct option from the given options is B.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
The given logarithmic problem can be solved in the following manner, therefore,
[tex]\rm log_210\ log_48\ log_{10}4\\\\[/tex]
Using the logarithmic properties, we can write,
[tex]=\rm \dfrac{log10}{log2}\cdot \dfrac{log8}{log4}\cdot \dfrac{log4}{log10}\\\\[/tex]
Now cancelling out the values we will get,
[tex]=\rm \dfrac{log2^3}{log2}\\\\=\rm \dfrac{3log2}{log2}\\\\= 3[/tex]
Thus, the solution to the problem is correct and the correct option from the given options is B.
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Answer:
B
Step-by-step explanation:
on edge
Solve the following equations and check your solution using substitution.
6 - 5x = 16
4 - 9x = -7
(BTW pls show your working out)
Answer: 1. [tex]x=-2[/tex]; 2. [tex]x=\frac{11}{9}[/tex]
Step-by-step explanation :
1.
[tex]6-5x=16\\6-5x-6=16-6\\-5x=10\\\frac{-5x}{-5}=\frac{10}{-5}\\x=-2[/tex]
2.
[tex]4-9x=-7\\4-9x-4=-7-4\\-9x=-11\\\frac{-9x}{-9}=\frac{-11}{-9}\\x=\frac{11}{9}[/tex]
Answer:
Q1) x =2 Q2) x = 11/9
Step-by-step explanation:
Q1) 6 - 5x = 16 check : -5(2) = -10
-6 -6 6 -- 10 = 6+ 10 = 16
-5x = 10 Q2) 4 - 9x = -7
-x = -2 -4 -4
x = 2 -9x = - 11
-------------- -x = -11 /9 -----> x = 11/9
|1/2- x/3|=5/6. Solve for x. There is (most likely) 2 answers
Answer:
Ans is -1
Step-by-step explanation:
Hope the picture will help you..
Mrs. Gomez purchased a pair of sneakers for $32.50 and two shirts for
$13.00 each. If Mrs. Gomez pays 8% in sales tax, then what is the total
cost Mrs. Gomez will pay for the sneakers and shirts? *
Your answer
Answer:
62.86
Step-by-step explanation:
Add the cost of things without sales tax:
32.5+ (13×2)=58.5
Convert percent to decimal:
8/100=0.08
Multiply cost without sales tax by sales tax to get the amount added to the cost:
0.08×58.2=4.656
Add cost and sales tax amount to get total payment:
4.656+58.5=62.856
Round the total payment to the nearest hundredth place:
62.86
If the price of a 8 minute phone call is $1.20 the what is the price of a 17 minute phone call
Answer:
The answer should be $2.55 for a 17 minute call
What is the end behavior of the function f of x equals 3 times the cube root of x?
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.
The end behavior of [tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex] is how its value changes as x changes
The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]
How to determine the end behavior?The function is given as:
[tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex]
The above function is a cube root function.
A cube root function has the following properties:
As x increases, the function values increasesAs x decreases, the function values decreasesThis means that the end behavior of the function is:
[tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]
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Answer:
The answer is A
Step-by-step explanation:
Had taken the test
sin 60 =11/x
x=11/sin (60)
Answer:
sixt
Step-by-step explanation:
thats easy the sin should be six
what is an easy method to workout 35% of 70
Step-by-step explanation:
[tex]70 \times \frac{35}{100} = 24 .5 [/tex]
Answer:
24.5
Step-by-step explanation:
35% can be broken down into 10% + 10% + 10% + 5%
To find 10% of 70, divide 70 by 10.
To divide a number by 10, move the decimal point 1 place to the left.
⇒ 70 ÷ 10 = 7
So 10% = 7
5% is half of 10%
⇒ 5% = 7 ÷ 2 = 3.5
Therefore,
10% + 10% + 10% + 5% = 7 + 7 + 7 + 3.5
= 21 + 3.5
= 24.5
A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her
campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500
likely voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in
proportions of likely voters who would vote for this candidate was (-0.014, 0.064). What was the difference (pre-
debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate?
0.064 +-0.014)
= 0.025
0.064-(-0.014)
= 0.039
0 0.064 + (-0.014) = 0.050
0.064 - (-0.014) = 0.078
N
Considering the confidence interval given, the likely difference is given by:
[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]
What is the point estimate of a confidence interval?Given an interval (a,b), the point estimate is the mean of the bounds, that is:
p = (a + b)/2.
In this problem, the interval is (-0.014, 0.064), hence the expression for the likely difference is given by:
[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]
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Find the diameter. dddddddddddddddddddddddddddddddddddddddd
Answer:
14
Step-by-step explanation:
To find the diameter you can just multiply the radius by 2:
7 x 2 = 14
Hope this helps :)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's we go ~
We know that diameter of a circle is two times it's radius, that's a basic relation among diameter and radius, so let's use this to find the value of diameter :
[tex]\qquad \sf \dashrightarrow \:d = 2r[/tex]
[tex]\qquad \sf \dashrightarrow \:d = 2 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:d = 14 \: cm[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
A card is drawn from the cards numbered from 8 to 27, find the probability that drawn card is divisible by 6 or 7 without remainder.
Answer:
1/4
Step-by-step explanation:
from 8 to 27, there are 5 number that are divisible by 6 or 7.
=> 12,14,18,21,24
=> number of favourable outcomes = 5
=> numer of possible outcomes = 20
probability = no. of favourable outcomes/ no. of possible outcomes
=> probability = 5/20
=> 5/20 = 1/4
help..
Priya bought these items at the grocery store. Find each unit price.
12 eggs for $3. How much is the cost per egg?
3 pounds of peanuts for $7.50. How much is the cost per pound?
4 rolls of toilet paper for $2. How much is the cost per roll?
10 apples for $3.50. How much is the cost per apple?
Answer:
egg: 4 eggs per dollar
peanuts: 0.4 pounds per dollar
t p: 2 rolls for a dollar
apples: 3 apples per dollar
A video posted on the internet is becoming very popular, and the total number of views is increasing by 20% every hour. If the video currently has 71,000 views, how many views will it have in 9 hours?
Answer:198000 maybe
Sorry if it’s wrong
There are 132 sixth-grade students who play basketball, lacrosse, or tennis.
33 students play lacrosse
25% of students play tennis
How many students play basketball?
A 86
B 74
C 72
D 66
Answer:
66
Step-by-step explanation:
Lacrosse: 33
Tennis: 33
0.25 x 132 = 33
Basket ball:?
33 + 33 + b = 132
66 + b = 132
132 - 66 = 66
b = 66
Have a great day!
Please rate and mark brainliest!!
Answer:
D. 66
Step-by-step explanation:
Total number of students = 132
If 25% of 132 students play tennis:
⇒ 0.25 × 132 = 33
So 33 students play tennis
Number of students who play basketball is: total number of students minus students play tennis minus students play lacrosse:
= basketball = 132 - 33 - 33 = 66
no one is answering i posted this question 2 times, this is my 3rd time please answer.
Answer:
13
Step-by-step explanation:
First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)
"Of the 32 students that have a cell phone, 19 students do not have a tablet."
The top row of the table is students who have a cell phone. Therefore, place 19 in the box in this row that is in the "no tablet" column.
"Of the 70 students that have a tablet, 57 students do not have a cell phone."
The first column of the table is students who have a tablet. Therefore, place 57 in the box in the 2nd row of this column.
"11 students do not have a cell phone or a tablet."
Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.
We can calculate the blank totals using addition (shown by green numbers on the attached table)
Total students with no cell phone = 57 + 11 = 68Total students with no tablet = 19 + 11 = 30To calculate the number of students who have a cell phone AND a tablet:
⇒ Total students with a cell phone minus students with a cell phone but no tablet
⇒ 32 - 19 = 13
What is the value of angle h? How do you know (what type of angle pairs are they)?
Answer:
can you provide an image?
Step-by-step explanation:
Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza. If they evenly divided what was left, how many slices would each of them receive
Answer:
they would get 1 piece each and would probably have to fight for the last one
Step-by-step explanation:
12 divided by 3 = 4
4x2=8
12-8=4
4 divided by 3 = 1 remainder 1
The number of slices would each of them receives will be 2 ²/₃ pieces.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza.
Then the number of pieces eaten is calculated as,
⇒ 2/3 x 12
⇒ 8
If they are evenly divided. Then we have
⇒ 8 / 3
⇒ 2 ²/₃
The number of slices would each of them receives will be 2 ²/₃ pieces.
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please help me here?
Answer:
$90
Step-by-step explanation:
12 * 4 = 48
48 + (12*3.5) = 90
answer is $90
London deposits $320 every month into an account earning a monthly
interest rate of 0.45%. How much would she have in the account after
11 years, to the nearest dollar? Use the following formula to determine
your answer.
-
A=d
a(" --
(1 + i)" – 1
i
A the future value of the account after n periods
d the amount invested at the end of each period
i the interest rate per period
n = the number of periods
Based on the amount that London deposited every month and the number of years involved, London would have $57,515.16.
How much would London have in 11 years?The amount that London deposits every month is an annuity because it is a fixed amount.
The value in 11 years is therefore the future value of an annuity which can be found as:
= Amount x ( (1 + rate) ^ number of periods - 1) / rate
The number of periods is:
= 11 years x 12 months
= 132 months
Future value is:
= 320 x ( ( 1 + 0.45%)¹³² - 1) / 0.45%
= $57,515.16
Find out more on annuities at https://brainly.com/question/9293270.
What is the solution of (4 x minus 16) superscript one-half baseline = 36? x = 5 x = 13 x = 20 x = 328
Answer:
328
Step-by-step explanation:
(4x − 16)^½ = 36
Square both sides:
4x − 16 = 36²
4x − 16 = 1296
Solve for x:
4x = 1312
x = 328
Answer X=328
Step-by-step explanation:
Class A has 28 pupils and class B has 8 pupils.
Both classes sit the same maths test.
The mean score for class A is 34.
The mean score for class B is 78.
What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answer:
43.78
Step-by-step explanation:
In this case, the formula for mean can be as followed:
[tex]mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} [/tex]
Let the sum of all student scores for class A and class B be A and B respectfully,
For Class A,
A/28 = 34
A/28 = 34A = 952
For Class B,
B/8 = 78
B/8 = 78B = 624
Now to find the mean score of both classes using the same formula,
Mean = (952+624)/(28+8)
= 43.77777777777778
≈ 43.78