How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?

Answers

Answer 1

Answer: So an exponential equation is gonna be used for this problem. The formula for such is $y=ab^x$ , in which the a variable is the initial value and the b variable is the growth/decay rate.

For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.

Your equation should look like this: $y=1200(1.073)^x$ and from here just plug in 10 into the x variable and solve.

Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.

$y=1200(1.073)^(10) \n y=2427.61$

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14. Write the improper fraction as a mixed number in simplest form.65/ 8
A. 6 1/7
B. 8 1/8
C. 5 1/8
D. 9 2/7
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15. 45/4
A. 11 1/4
B. 12 1/4
C. 10 1/4
D. 11
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16. Write 4 and 5 eights as an improper fraction and as a mixed number
A. 37/8 , 5 4/8 B. 44/8 , 5 4/8 C. 37/8 , 4 5/8 D. 32/8 , 4 5/8

Answers

$14.\n(65)/(8)=(64+1)/(8)=(64)/(8)+(1)/(8)=\boxed{8(1)/(8)}\to\boxed{\boxed{B}}\n\n15.\n(45)/(4)=(44+1)/(4)=(44)/(4)+(1)/(4)=\boxed{11(1)/(4)}\to\boxed{\boxed{A}}\n\n16.\n4+(5)/(8)=\boxed{4(5)/(8)}=(4\cdot8+5)/(8)=(32+5)/(8)=\boxed{(37)/(8)}\to\boxed{\boxed{C}}$

65/8 would be 8 1/8 in its simplest form

45/4 would be 11 1/4

4 5/8 would be 37/8 as an improper fraction and 4 5/8 is how it would be written as a mixed number

At a store, the probability that a customer buys socks is 0.15. The probabilitythat a customer buys socks given that the customer buys shoes is 0.20.
Which statement is true?
O
A. Buying socks and buying shoes are dependent events.
O
B. The probability that a customer buys socks and shoes is 0.05.
C. Every customer who buys shoes also buys socks.
D. Buying socks and buying shoes are independent events.

Answers

Answer:

A. Buying socks and buying shoes are dependent events.

Step-by-step explanation:

We are given that

The probability that a customer buys socks ,P(A)=0.15

The probability that a customer socks given that the customer buys shoes P(A\B)=0.20

The probability that a customer buys shoes,P(B)=1-0.15=0.85

By using formula P(E')=1-P(E)

Where P(E)= Probability of an event that is happened

P(E')=Probability of an event that is not happened

We have to find $P(A\capB)$ for two events

$P(A)\cdot P(B)$

$=0.85* 0.15=0.1275$

We know that conditional probability of an event when given that the probability of an event B is given

$P((A)/(B))=(P(A\cap B))/(P(B))$

$0.20=(P(A\cap B))/(0.85)$

$P(A\cap B)=0.20* 0.85=0.17$

$P(A\cap B)\neq P(A)\cdot P(B)$ .

Therefore, the two events are dependent .Hence, Buying socks and buying shoes are dependent events.

Therefore, option A is true.

Right at least three statements showing what you know about the fraction 2/3

Answers

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3.589 is greater than or less than 3.598

Answers

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What is the quotient of (3+I)(3-I)/-(2+2i)^2

Answers

Answer:

E. -5i/4

Step-by-step explanation:

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If a>b and b>c, what is true about the relationship between a and c? Explain your reasoning

Answers

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