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Brilliant_brown [7]

3 years ago

8

The original price, p, of a single scoop of ice cream has increased by 7%. The new price can be represented as 1.07p. Which expr

ession is also equivalent to the new price? *

1 answer:

gogolik [260]3 years ago

6 0

Answer:

107%p

not much explanation needed here, just conversion of units.

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What lump sum do parents need to deposit in an account earning 9%, compounded monthly, so that it will grow to $100,000 for thei

gogolik [260]

Answer:

They need to deposit $31,172.49

Step-by-step explanation:

The compound interest formula is given by:

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

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time the money is invested or borrowed for, in years.

In this problem

We want to find P for which $A = 100000$ when $r = 0.09, n = 12, t = 13$

So

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

$100000 = P(1 + \frac{0.09}{12})^{12*13}$

$3.208P = 100000$

$P = \frac{100000}{3.208}$

$P = 31172.49$

They need to deposit $31,172.49

6 0

3 years ago

Which of the following are integers?<br> 13<br> 14<br> -16<br> 147<br> 1000000<br> -3<br> -0.35

nikklg [1K]

Answer:

13 integer

14 integer

-16 integer

147 integer

100000 integer

-3 integer

-0.35 not integer

Explanation:

The integers are all negative or positive whole numbers

7 0

3 years ago

Read 2 more answers

Jamie goes shopping for the holidays and saves $27.75 with a 15% off coupon. What would her total bill be without the coupon? *

vladimir1956 [14]

Answer:$185

Step-by-step explanation:

27.75/0.15

=$185

7 0

3 years ago

Read 2 more answers

A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than

aleksklad [387]

Answer:

The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

The sample size is $n = 13$

The sample mean is $\= x = 9.63$

The standard deviation is $s = 0.585$

The significance level is $\alpha = 0.05$

The Null Hypothesis is $H_o : \mu = 0$

The Alternative Hypothesis is $H_a = \mu < 10$

The test statistic is mathematically represented as

$t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }$

Substituting values

$t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }$

$t = - 2.280$

Now the critical value for $\alpha$ is

$t_{\alpha } = 1.645$

This obtained from the critical value table

So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

The conclusion is that the researcher was correct

6 0

3 years ago

What if a tortoise walks 27 miles a year at this rate how many miles will this tortoise walk in 10 years?

anzhelika [568]

You need to do 27 X 10 which equals 270

3 0

2 years ago

Read 2 more answers