Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
How much should be invested at 7% compounded daily for 15 years to make $200,000?
The amount of money that should be invested at 7% compounded daily is $199,421.68.
How to calculate compound interest.Mathematically, compound interest is given by this formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.n is the number of times compounded.Given the following data:
Future value = $200,000.
Interest rate = 7% = 0.07.
Time = 15 year.
Substituting the given parameters into the formula, we have;
[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]
P = $199,421.68.
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Find the area of the parallelogram
Answer:
A = 3484 ft²
Step-by-step explanation:
Area of a parallelogram is given by the formula:
A = bh (where b is the base length and h is the vertical height)
Substituting values given in the diagram gives us:
A = 67×52
A = 3484
Units will be ft² since it is area.
So our final answer is 3484 ft²
Brainliest if this helped and I hope you find the rest of your homework or task easy.
Rewrite the equation below in standard form y= -1/3x +5
Answer:
x+3y=15
idrk how to explain but thats the answer
algebra elimination- 13x+8y=-2 and 2x+y=-1
Answer:
x=-6/29
y=-17/29
Step-by-step explanation:
we have the system of equations
-13x+8y=-2 ------> equation 1
2x+y=-1 ------> equation 2
Solve by elimination
step 1
Multiply equation 2 by -8 on both sides
-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3
step 2
Adds equation 1 and equation 3
-13x+8y=-2
-16x-8y=8
-----------------
-29x=6
x=-6/29
Find out the value of y
substitute the value of x in any equation
2x+y=-1
2(-6/29)+y=-1
-12/29+y=-1
y=-1+(12/29)
y=-17/29
therefore
The answer is
x=-6/29
y=-17/29
Hello people ~
factorise : 3x² + 10x + 8
Answer:
(x + 2)(3x + 4)
Step-by-step explanation:
3x² + 10x + 8
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 8 = 24 and sum = + 10
the factors are + 6 and + 4
use these factors to split the x- term
3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )
= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 4) ← in factored form
[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]
[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]
Done!
Given g(x)=xpower of 2-6x-16,which statement is true?
For the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
What is a quadratic function?A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic function is,
[tex]f(x)=ax^2+bx+c[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
The quadratic function given in the problem is,
[tex]g(x)=x^2-6x+16[/tex]
Factorized it with split the middle term method,
[tex]g(x)=x^2-6x-16\\g(x)=x^2-8x+2x-16\\g(x)=x(x-8)+2(x-8)\\g(x)=(x-8)(x+2)[/tex]
Equate the factors of the function, to find the zeros,
[tex]x-8=0;x=8\\x+2=0;x=-2[/tex]
Hence, for the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
Learn more about the quadratic equation here;
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The graph of the function is of the form
f(x) = a * sin(kc – c) + h.
A triangular prism is shown below. What is the volume of the prism in cubic centimeters? Group of answer choices
A.168
B.840
C.280
D.336
What transformation of Figure 1 results in Figure 2?
Select from the drop-down menu to correctly complete the
statement.
Choices- Rotation
Reflection
Translation
HeLp
Solve for p show work
8p-3=13
First, add 3 to both sides:-
[tex]\sf{8p=13+3}[/tex]
[tex]\sf{8p=16}[/tex]
Now, divide both sides by 8:-
[tex]\bigstar{\boxed{\pmb{p=2}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
A bag contains 2 1/4 kilograms of flour. Anthony needs 3 1/2 bags of flour to make bread. How many kilograms of flour does anthony need?
6 1/8
6 3/4
7 3/8
7 7/8
Answer:
7 7/8
Step-by-step explanation:
Covert the mixed fractions into improper fractions to make this easier.
2 [tex]\frac{1}{4} and 3\frac{1}{2}[/tex] into [tex]\frac{9}{4} (2*4 +1) and \frac{7}{2} (3*2+1)[/tex]. (In parenthesis, its the process of creating the improper fractions and not part of the fractions themselves.
Now you just multiply both together since 1 bag needs 2 1/4 kilograms and Anthony needs 3 1/2 bags.
That gets you [tex]\frac{63}{8}[/tex] which you get by multiplying 9 and 7 in the numerator and 4 and 2 in the denominator
Finally, find out how many 8 goes into 63 which would be 7 times. 63-(7*8) = 7.
And so the answer is 7 7/8
please help me and thank you :))))
Answer:
96
Step-by-step explanation:
Answer:
the answer of this question
is 96
Two friends are biking. Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour The table shows the mile marker Shayla reaches after biking x hours. What is the difference in the initial values of the functions? Record your answer on the grid. Then fill in the bubbles.
The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
What is speed?Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:
Distance covered = 12 mph * x = 12x miles
The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
Find out more on speed at: https://brainly.com/question/4931057
please help :)))))))
Answer:
Step-by-step explanation:
Question below .....
Larinda cooked a 4-kilogram the roast leftover after the meat weighed 3 kilograms how many grams of roast were eaten during that meal
4 (originally) - 3 (leftover) = 1 KG (eaten)
1* ( 1000) = 1000g
(there is 1000g in 1 KG)
sin x=0.6, x lies in quadrant two.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \: \sin(x) = 0.6[/tex]
[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{6}{10} [/tex]
[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{3}{5} [/tex]
[tex]\qquad \tt \dashrightarrow \:x = \sin {}^{ - 1} ( \dfrac{3}{5} ) [/tex]
[tex]\qquad \tt \dashrightarrow \:x = 37 \degree[/tex]
Now, since we have to find the value of x in quadrant 2, we have to subtract the given value from 180°
that is :
[tex]\qquad \tt \dashrightarrow \:x = 180 - 37[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 143 \degree[/tex]
Nick is having a birthday party. His mother said he must spend less than $42 on party favors and decorations. If all the decorations cost $21 and each favor is $3.50, how many favors can Nick buy?
Answer:6
Step-by-step explanation:
What you do is you divide 21 and 3.50 and that equals 6 so Nick can buy 6 favors under 42$. (I hope this helped if not then im sorry <3)
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
6
75
2
80
9
85
3
90
1
95
6
100
8
Answer:
85.3
Step-by-step explanation:
The Total number of students = 36. Add all the values but don't forget how much of that value there is. so for the score of 70, you would multiply that by 6 because that's how much students got it.
The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
HELPPPPPPPPPPPP
The area of the stacked prism is the amount of space on it
To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms
How to determine the number of prisms?
The dimension of the prism is given as:
2 inches by 3 inches by 4 inches
The surface area of the prism is calculated as:
A = 2 * (LW + WH + LH)
This gives
A = 2 * (2 * 3 + 3 * 4 + 2 * 4)
Evaluate the product
A = 52
When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.
So, the number of prisms (n) needed is:
100/ 52 < n < 130/52
Evaluate the quotient
1.9 < n < 2.5
Approximate
2 < n < 2.5
Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.
Read more about areas at:
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On 1, I need help, and for 2, is the answer right?
Answer:
1.A 2.yes
Step-by-step explanation:
PEMDAS
A movie star's agent earns 11% of the star's monthly income. If the star's monthly income is $81,400 , how much will the agent earn?
The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.
How much will the agent earn?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.
Agent's earnings = 11% x $81,400 =$8,954
To learn more about percentages, please check: https://brainly.com/question/25764815
Find the area of the figure. Round your answer to nearest tenth. Use the 7t button on your calculator.
14.Scm
688.1 cm?
46,5 cm?
b
Ос
219,0 cm
693.0 cm?
в е авт
A
Answer:
688.1 cm
Step-by-step explanation:
Area of circle = (π)r^2
Area= π × 14.8^2
Area = 688.1 cm^2 (to the nearest tenth)
What is the area of the parallelogram?
6
сл
4
square units
What’s the square unit ?
Answer: 24 units²
Step-by-step explanation:
We will use the formula for the area of a parallelogram and solve.
A = bh
A = 6 * 4
A = 24 units²
Isn't this the same formula used for a rectangle? Correct! See attached, the "extra triangle" on the left side can be moved to the right side, and then we solve it like it is a rectangle.
Bella has 7 more dimes than nickels, for a total value of $1.45. If n represents the number of nickels, what equation could be used to find the number of nickels Bella has?
Answer:
15 nickels
Step-by-step explanation:
so you know she has 7 dimes so youre starting off at .70
how much money would it take to get from .70 to 1.45?
.75 cents to get from .70 to 1.45 which is 15 nickels
Answer:
0.15n + 0.70 = 1.45
5 nickels
Step-by-step explanation:
Nickel = 5 cents = $0.05
Dime = 10 cents = $0.10
Let n = number of nickels
Let d = number of dimes
Given:
Bella has 7 more dimes than nickelsTotal value of $1.45Equation 1: 0.05n + 0.10d = 1.45
Equation 2: d = n + 7
Substitute Equation 2 into Equation 1 and solve for n:
⇒ 0.05n + 0.10(n + 7) = 1.45
⇒ 0.05n + 0.10n + 0.70 = 1.45
⇒ 0.15n + 0.70 = 1.45
⇒ 0.15n = 0.75
⇒ n = 5
Therefore, Bella had 5 nickels and 12 dimes.
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST
For which values is this undefined (what numbers makes the denominator 0)
Answer:
x = -6 and x = 1
Step-by-step explanation:
For the fraction to be undefined, find the zeros of the polynomial of the denominator.
x² + 5x - 6 = 0x² - x + 6x - 6 = 0x(x - 1) + 6(x - 1) = 0(x + 6)(x - 1) = 0x = -6 and x = 1Jessica has $40 to spend at the book fair. She buys 2 notebooks for $3 8. each and wants to spend the rest of her money on books. How many books can Jessica buy if each book costs $8? How much money does Jessica have left over?
Answer:
She can buy 4 books
Step-by-step explanation:
If each notebook is $3, and she bought two, she'd be left with $32 because 40-6=32. Simply multiply 8 by 4 to get 32, which is the rest of her money. Hope this helps!
Mark chose two cards randomly from a deck. What is the probabity of getting an Ace or King?
Answer:
50/50
Step-by-step explanation:
Answer:
depends on how many there are in a deck. But going from the usual, it would be 2/52
Step-by-step explanation:
(52 is how many cards there are, if theres a different amount then change it to that)
A set of cubes, each with sides 1 cm long, is stacked 5 cubes high, 8 cubes deep and 7 cubes long.
How many cubes are in the set?
Answer:
280 Cubes
Explanation:
This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.