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3 years ago

10

Theo deposits $2,000 deposit in a savings account earning compound interest at an annual rate of 5% compounded annually. He make

s no additional deposits or withdrawals. Use the formula for compound interest to find the amount in the account after 10 years.

1 answer:

Arada [10]3 years ago

4 0

The amount in the account after 10 years would be $3257.79

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Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students r

BaLLatris [955]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

$H_0: p=0.39\\\\H_a :p\neq0.39$

Sample size : n= 1055

Sample proportion : $\hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44$

Critical value for 95% confidence : $z_{\alpha/2}=1.96$

Confidence interval : $\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

$0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)$

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.

8 0

3 years ago

Catie earned $3,511.95 last month. She used 3/5 of her earnings to pay her bills. With the remaining money she bought two skirts

andrew11 [14]

Answer:

$Amount \ left = 1345.81$

Step-by-step explanation:

$Total \ earning = T= $3,511.95$

$Spent \ on \ Bills = B = \frac{3}{5} T = 2107.17$

$Remaining \ amount = R = T-B = $3,511.95 - 2107.17\\R = 1404.78$

$Spent \ on \ Shopping = S = 2($21.99) + $14.99\\S = 58.97$

$Amount \ left = L = R - S\\Amount \ left = 1404.78 - 58.97\\Amount \ left = 1345.81$

5 0

3 years ago

The price of two pairs and six apples is $14. The price of three pairs and nine apples is $21. Can you determine the unit prices

deff fn [24]

Answer:

no

Step-by-step explanation:

The second purchase is exactly half-again larger than the first purchase, so sheds no light on the relative costs of the items. The per-item costs can be found when the ratio of items purchased is different from one buy to another.

___

We can only say that the cost of 1 pear and 3 apples is $7.

6 0

3 years ago

A piece of fabric is 1/3 yard by 3 5/8 yards. Irma solves 1/3⋅3 5/8 to find the area of the fabric in square yards. Enter number

Harlamova29_29 [7]

For this case we have:

The area of the piece of fabric is given by $A = a * b$

Where

$a = \frac{1}{3}yards$

$b = 3 \frac{5}{8}yards$

Substituting in the formula of the area we have:

$A = \frac{1}{3}* 3 \frac{5}{8}\\$

$A = \frac{1}{3}* (3 + \frac{5}{8})\\$

$A = 1 + \frac{5}{24}$

$A = 1\frac{5}{24}yards ^ 2\\$

Thus, the area of the piece of fabric is given by: $A = 1\frac{5}{24}yards ^ 2\\$

Answer:

$A = 1\frac{5}{24}yards ^ 2\\$

4 0

3 years ago

The partial factorization of x2 – x – 12 is modeled with algebra tiles. Which unit tiles are needed to complete the factorizatio

melisa1 [442]

Answer: Answer is C

4 Negative units

Step-by-step explanation:

3 0

3 years ago

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