There are sol students in the

A person invests 7500 dollars in a bank. The bank pays 6% interest compounded semi-annually. To the nearest tenth of a year, how

kompoz [17]

Answer:

$13.0\ years$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=?\ years\\ P=\$7,500\\ r=0.06\\n=2\\ A=\$16,200$

substitute in the formula above

$16,200=7,500(1+\frac{0.06}{2})^{2t}$

$(2.16)=(1.03)^{2t}$

Apply log both sides

$log(2.16)=(2t)log(1.03)$

$t=log(2.16)/[(2)log(1.03)]$

$t=13.0\ years$

7 0

4 years ago

What is 0.572 divide by 4

Daniel [21]

Answer:

0.143

Step-by-step explanation:

Please mark me as Brainliest if you are satisfied with the answer.

7 0

3 years ago

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A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c

allochka39001 [22]

Answer:

a) The test statistic is $z = -2.51$

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

$H_a: p_{B} - p_{NY} < 0$

While the null hypothesis is:

$H_0: p_{B} - p_{NY} = 0$

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that $X = 0.581 - 0.832 = -0.251$

0 is tested at the null hypothesis:

This means that $\mu = 0$

Standard error = 0.1

This means that $s = 0.1$

Test statistic:

$z = \frac{X - \mu}{s}$

$z = \frac{-0.251 - 0}{0.1}$

$z = -2.51$

The test statistic is $z = -2.51$

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

5 0

3 years ago

Really need help with this paper

Darina [25.2K]

Answer:

The answer to your question is below

Step-by-step explanation:

1.- (2b - 1) (b + 8) = 0

2b - 1 = 0 b + 8 = 0

b = 1/2 b = -8

2.- (x + 3)(x - 12) = 0

x + 3 = 0 x - 12 = 0

x = -3 x = 12

3.- (4b+ 7)(b + 11)

4b + 7 = 0 b + 11 = 0

b = -7/4 b = -11

4.- (k - 8)(k + 6)

k - 8 = 0 k + 6 = 0

k = 8 k = -6

5.- (2n + 12)(5n+ 10)

2n + 12 = 0 5n + 10 = 0

n = -12/2 = -6 n = -10/5 = -2

6.- (w - 3)(3w - 7)

w - 3 = 0 3w - 7 = 0

w = 3 w = 7/3

7.- (6n - 5)(n - 10)

6n - 5 = 0 n - 10 = 0

n = 5/6 n = 10

8.- (n + 12)((4n + 7)

n + 12 = 0 4n + 7 = 0

n = -12 n = -7/4

9.- (3b + 4)(5b - 10)

3b + 4 = 0 5b - 10 = 0

b = -4/3 b = 10/5 = 2

10.- (p - 6)(p + 10)

p - 6 = 0 p + 10 = 0

p = 6 p = -10

3 0

3 years ago

Ivan is an artist. He creates 1 sculpture for every 6 paintings. If he has created 48 paintings, how many sculptures has he crea

lianna [129]

Answer:

C) 8

Step-by-step explanation:

48/6 = 8

7 0

3 years ago

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