Answer:
$724.11
Step-by-step explanation:
This requires the use of the growth formula.
Growth Formula:
[tex]y = a*(1+r)^x[/tex]
y = total/answer
a = starting value
r = rate (1.25 = 25%)
x = the amount of time (years/months)
Equation:
[tex]y = 6200 * (1+0.028)^4[/tex]
Solving:
y = $6924.11
$6924.11 - $6200 = total interest
$724.11
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$6200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (6200)(0.028)(4)\implies I=694.4[/tex]
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3
d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3
f) cuboid volume = l*b*h = 44*19= 836 in^3
e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3
B3: Jill filled up her car with 15 gallons of gas for $43.35. Bill filled up his car with 22 gallons of gas for $61.82. Who got the better deal on gas?
Answer:
Bill go the better deal
Step-by-step explanation:
43.35/15=2.89
61.82/32=2.81
Find the length of BC.
Explain how you got it, please!
Thanks!
Answer:
BC = 30.73
Here,
[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]
so first solve for QD
[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]
[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]
[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]
[tex]\sf \hookrightarrow DQ =9[/tex]
Hence, QD = 9Now! using Pythagoras theorem,
CD² + BD² = BC²19.2² + (9+15)² = BC²BC = √368.64+576BC = 30.73499634BC = 30.73 ( rounded to nearest hundredth )Answer:
BC = 30.7 units (nearest tenth)
Step-by-step explanation:
As ∠AQR = ∠CQR then ∠AQB = ∠CQD
This means that ΔABQ ~ ΔCDQ
Therefore, the side lengths of two similar triangles are proportional.
[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]
Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = BD = BQ + QD = 15 + 9 = 24b = CD = 19.2c = BCSubstituting values into the formula:
[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]
(since distance is positive only)
6|-5| - 3(2/3) + 7(-8)=
-88
-16
-28
Answer:
-28
Step-by-step explanation:
6|-5| - 3(2/3) + 7(-8)=
30 -2 -56
30 -58 = -28
Which scatterplot has a correlation coefficient closest to r = -1?
Step-by-step explanation:
negative correlation because the negative correlation moves towards the left.
Can X = 2 be linear function
Answer:
yes it can
.........................................
Answer:
Yes
Step-by-step explanation:
A linear function is a straight line and when we graph x=2 the line goes straight through x=2
i) Given that a = 1, b = 3, c = 7, evaluate abc
Calculations ↓Instead of a write 1 :1bcInstead of b write 3 :1*3cInstead of c write 7 :1*3*7Multiply :1*2121Evaluated expression ↓21
WILL GIVE BRAINLIEST, THANKS AND 5 STARS.
Sam kicks a ball off of a rooftop. After t seconds, its height, h (in feet), is given by the formula: h (t) = -16t^2 + 64t + 80.
*NOTE: Complete this without using graphing features on your calculator, and show all work for credit.
a. What is the maximum height reached by the ball?
b. When did the ball reach its maximum height?
c. When will the ball hit the ground? (Do algebraically)
d. What is the height of the ball after 1 second?
EXPLAIN ALL 4 PARTS IN DEPTH, PLEASE!
hi hope this is what you were looking for, hope this helps.
Answer:
a. 144m
b. After 2 secs
c. Ball hits the ground after 5 secs.
d. 128m
Step-by-step explanation:
A To find max height, find derivative of equation, let it equal zero, and sub in value into original equation: h(t) = -16t² + 64t + 80 h'(t)=-32t+64 -32t+64=0 32t=64 t=2 h(2) = -16(2²) + 64(2) + 80 h(2) = -64+128+80 = 144m B When h=144, t=2. Therefore, the ball reaches its max height after 2 secs. C When the ball hits the ground, h=0: -16t² + 64t + 80=0 t²-4t-5=0 (simplified) (t-5)(t+1)=0 t=5 and t=-1 Discount t=-1 (time cant be neg). Ball hits the ground after 5 secs. D Find h when t=1: h(t) = -16t² + 64t + 80 h(1) = -16(1²) + 64(1) + 80 h(1) = -16+64+80 h(1) = 128m.
pls help due today math
Answer:
x = 4
y = 8
Steps are given, below in the picture
I hope my answer helps you.
Step-by-step explanation:
Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.
SOH CAH TOA
What is the slope of the line?
y = -2/7x
A. -2
B. -2/7
C. 0
D. 2/7
What is the volume of this container? (Image below)
Answer:
A. 56 in3
Step-by-step explanation:
Formula for Volume; LWH
L * W * H = 4* 4 * 2
16 * 2 = 32(3)
(second half of the container)
LWH = 3 * 4 * 2
12 * 2 = 24(3)
32 + 24 = 56(3)
Break into two cuboids
In cuboid
★V=LBHHence
#1
L=1B=2H=4Volume:-
1(2)(4)=8in³#2
L=4B=3H=4Volume:-
4(3)(4)48in³Total:
8+4856in³Find the solutions to x2 = 12.
The answer is B~ c=+2{3}
Answer:
B
Step-by-step explanation:
x² = 12 ( take square root of both sides )
x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]
Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)
Number Sense George is thinking of a number less than 10 that has an odd product when multiplied by 5. What could George's number be?
Can YALL HELP ME WITH THIS
Answer:
A
Step-by-step explanation:
3 * 10^2 is 300miles in 5hrs. that sounds more reasonable than the other options. have a good day! pls give brainliest
Abby found that the radius of her bike tire was 14 inches what is the circumstances of the tire
Answer:
28
Step-by-step explanation:
radius= 14
circumstances of tire=?
Based on given conditions, formulate
circumstances= 2 multiply radius
= 2 multiply by 14
= 28
The ride runs for 3 minutes. The disc
completes one up and down cycle every 45
seconds. How many complete up and down
cycles will occur during a single ride?
Find the nth term of this number sequence
2, 4, 6, 8, ...
Answer:
As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:
1st term: 2 = 2(1)
2nd term: 4 = 2(2)
3rd term: 6 = 2(3)
4th term: 8 = 2(4)
Additional terms:
5th term: 10 = 2(5)
6th term: 12 = 2(6)
7th term: 14 = 2(7)
8th term: 16 = 2(8)
Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.
Notice that we add 2 to each term in order to get to the next term.
Since we use addition, we have an arithmetic sequence.
Hence, the nth term is:-
n+2
Hope it helps!
Any queries - comment !
No links, there are no pictures, just the question
Write the equation of the line that passes through (5, 6) and (8, 4) in slope-intercept form.
I hope this helps, you can ask any questions for clarification
To write something in slope-intercept form
⇒ need to know what slope-intercept looks like: [tex]y = mx +b[/tex]
m: the value of the slopeb: y-interceptLet us first find the slope:
Formula of slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
(x1,y1): (5,6)(x2,y2): (8,4)Slope = [tex]\frac{4-6}{8-5} =-\frac{2}{3}[/tex]
Lets now write in point-slope form:
⇒ [tex](y-y0)=m(x-x0)[/tex]
(x0,y0): any point on the line --> (5,6)m: value of slope[tex]y - 6 = -\frac{2}{3} (x-5)[/tex]
To write it into slope-intercept form, we must solve for y
[tex]y = -\frac{2}{3}(x-5)+6 =-\frac{2}{3}x+\frac{10}{3} +6\\y = -\frac{2}{3} x+\frac{10}{3}+\frac{18}{3} \\y = -\frac{2}{3}x+\frac{28}{3}[/tex]<-- slope-intercept form
Hope that helps!
helppp please been stuck for so long
Answer:
Floating point(Decimal) is 0.1
Fraction is [tex]\frac{1}{10}[/tex]
This is because...10^-1 is going to be 0.1 in this case. This is because 10^-1 is the same as [tex]\frac{1}{10^1}[/tex], which is the same as [tex]\frac{1}{10}[/tex], because anything times 1 remains the same.
[tex]\frac{1}{10}[/tex] is the same as 0.1
We get a 2-in-1 answer, which is perfect for this scenario!
Hence, the correct answers are [tex]\frac{1}{10}[/tex] and 0.1
express the following rational algebraic expression to its simple form.show your solution
1. 25 ׳y³/ 75 ×⁴y⁴
express the following rational algebraic expression to its simple form.show your solution
1. 25 ׳y³/ 75 ×⁴y⁴
Answer
1/3×y4. the weight of a liquid varies directly as its volume v. of the weight of the liquid
in a cubical container 5 cm on a side is 375 g, find the weight of the liquid in a
cubical container 4 cm on a side.
a. 64 g
b. 129
c. 44 g
d. 192 g
In geometry, the base and _______ must make a right angle.
Answer:
hypotenuse(?)
Step-by-step explanation:
can someone help i need a a
Answer:
Distributive Property
Step-by-step explanation:
You can distribute the 5 to the 6 and 9 in the parenthesis.
Answer:
distributive
is the letter A
F(x)=3x^4-2x^3-12x^2-x; k=4
Answer:
444
Step-by-step explanation:
Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4
F * k = F( ( k ) ( x ) )
In circle H with m∠GHJ=66 and GH=10 units, find the length of arc GJ. Round to the nearest hundredth
Answer:
Step-by-step explanation:
arc length= central length/360 (circumference)
GJ=90/360 (2π20)
GJ= 31.42
31.42
The length of arc GJ is 11.5133 unit.
What is Arc length?In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.
We have,
m <GHJ = 66 and GH = 10 unit
Now, using arc length formula
= nπr / 180
= 66 x 3.14 x 10/ 180
= 11.5133 unit
Learn more about Arc length here:
https://brainly.com/question/31762064
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G= {(-5,5), (6, 8), (-5, -5)}
What is the domain and range
Answer:
I'm pretty sure domain is x and range is why which would mean that:
domain: -5,6
range: 5,8,-5
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)
Arianna paid $144 in simple interest on a $2000 loan that she repaid in 2 years. what interest rate did ariana pay on the loan
Ariana paid a 3.6% interest rate on the loan.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
We have been given data as:
Principal (P) = $2000
Simple interest = $144
Time (T) = 2 years
⇒ Simple interest = P × R × T
Substitute the value of P and T in the above formula,
⇒ 144 = 2000 × R × 2
⇒ 144 = 4000 × R
⇒ R = 144/4000
Apply the division operation, and we get
⇒ R = 0.036
⇒ R = 3.6 %
Therefore, Ariana paid a 3.6% interest rate on the loan.
Learn more about the simple interest here:
brainly.com/question/22621039
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What is the median of the data represented by the box plot?
A number line ranging from 0 to 143.75 with a box encompassing the numbers 12.5, 20, and 65.
Enter your answer in the box.
Fiona is studying how income taxes impact various families and their finances. She creates a table with various amounts of taxes owed and estimates that this represents 9% of each family’s gross income.
Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.
What is a proportion?A proportion is a fraction of a total amount.
Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:
Family 1:
0.09I = 60.30.
I = 60.30/0.09
I = $670.
Family 2:
0.09I = 82.80.
I = 82.80/0.09
I = $920.
Family 3:
0.09I = 135.00.
I = 135.00/0.09
I = $1500.
Family 4:
0.09I = 189.00.
I = 189.00/0.09
I = $2100.
More can be learned about proportions at https://brainly.com/question/24372153