12 *12 = 144
Therefore 12^2 = 144
Answer: option d is correct .
Step-by-step explanation:
In order to find the same attendance we set both equation equal
8x+191 = -x^2+26x+126
simplifying equation ,we get
x^2 -18x+65=0
(x-5) (x-13) = 0
x =5 or x =13
therefore on 5th day and 13th day both plays attendance is same
and it is obtained by plugging x = 5 in and x =13 in either of the equation.
for x = 5 ,
y = 8(5) +191 = 40+191 = 231
for x = 13
y = 8(13)+191
= 104+191
= 295
therefore option d is correct
The amount that will be in the account after 30 years is $188,921.57.
<h3>How much would be in the account after 30 years?</h3>
When an amount is compounded annually, it means that once a year, the amount invested and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.
The formula that can be used to determine the future value of the deposit in 30 years is : annuity factor x yearly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate
- n = number of years
$2000 x [{(1.07^30) - 1} / 0.07] = $188,921.57
To learn more about calculating the future value of an annuity, please check: brainly.com/question/24108530
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The volume of the original prism is calculated by multiplying the area of the base by the height,
volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³.
Answer:
27
Step-by-step explanation:
20=v-7
v=20+7
v=27
Hence, v equals to 27
