If you eat 4 medium strawberries, you get 36% of your daily recommended amount of vitamin C.

five brothers of 4, 9, 11, 13 and 16 years respectively, receive an inheritance of 1,500,000, the will stipulated that that amou

Kitty [74]

9514 1404 393

Answer:

Youngest to oldest:

160,406.86
246,805.83
293,230.01
348,386.58
451,170.72

Step-by-step explanation:

At 9% interest per year, the present value of 1 at age 20 is ...

p(a) = 1.09^(a-20)

Adding the present values for the different ages, we get a total of about 2.35528984846. Dividing the inheritance by that amount gives the multiplier for each of the present value numbers. The result is the list of shares shown above. At age 20, each brother will inherit about 636,864.29.

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Additional comment

This is the sort of question that suggests the use of a graphing calculator or spreadsheet for doing the tedious number crunching.

(We assume the bank pays 9% per year, rather than charges 9% per year.)

6 0

3 years ago

Sara has two puppies, Sonny & Cher. Every month she purchases enough food to feed her puppies for the month. Sonny eats 8.25

kherson [118]

Answer:

$44.33

Step-by-step explanation:

assume there are 4 weeks in a month

15.5+8.25= 1 weeks food

1 weeks food= 23.75

23.75 x 4= 1 months food

95=1 months food

95/45= 2.111 40 can variety pack of Cute Puppy food

2.111 x 21=44.33

8 0

3 years ago

Joel has a prepaid phone card that charges $0.50 to connect and $0.50 per minute. He also can use a cell phone that charges $2.5

Dafna11 [192]

Answer:12 minutes

Hope this is right sorry if not <3

8 0

3 years ago

You need to reverse the symbol to solve which inequality?

Marina86 [1]

When you multiply/divide by a negative number while solving the inequality, you reverse the symbol.

A.) 4(5 - y) ≥ 80 To solve this, isolate/get the variable "y" by itself in the inequality. Divide 4 on both sides

$\frac{4(5-y)}{4} \geq \frac{80}{4}$

5 - y ≥ 20 Subtract 5 on both sides

5 - 5 - y ≥ 20 - 5

-y ≥ 15 Divide -1 on both sides to get "y" by itself

$\frac{-y}{-1} \geq \frac{15}{-1}$ Because you are dividing by a negative number, you need to reverse the sign

y ≤ -15

B.) 2(y - 3) ≥ 8 Isolate "y", divide 2 on both sides

y - 3 ≥ 4 Add 3 on both sides to get "y" by itself

y ≥ 7

C.) 3y - 4 > 1 Add 4 on both sides

3y > 1 Divide 3 on both sides to get "y" by itself

$y>\frac{1}{3}$

D.) $-\frac{3}{4} +6y > \frac{1}{4}$ Isolate "y", add 3/4 on both sides

6y > 1 Divide 6 on both sides to get "y" by itseld

$y>\frac{1}{6}$

7 0

3 years ago

a boat capsized and sank in the lake. based on an assumption of a mean weight of 143 lb, the boat was rated to carry 70 passenge

Alenkinab [10]

The final answer is the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than 143lb is 1.0000.

A normal distribution is a continuous data distribution with a bell-shaped curve. The normally distributed random variable X has mean $\mu$ and standard deviation $\sigma$ .

In addition, the standard normal distribution represents a normal curve with a mean of zero and a standard deviation of one.

The number of standard deviations an element deviates from the mean is indicated by a standardized Z-score.

What is the theorem of the central limit?

If the sample size from the population is sufficiently large and has a finite variance, the mean of all samples taken will be approximately the same as the population mean. And the variance would be the population variance divided by the sample size. In addition, the sampling distribution would be roughly normal.
The formula for sampling distribution of the sample mean is $\mu_{\bar{x}}=\mu$
The formula for standard deviation of the sample mean is, $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}$
Here, $\sigma$ is the population standard deviation and n is the sample size.
The formula for standard z-score is,

$z=\frac{\bar{x}-\mu_{x}}{\frac{\sigma}{\sqrt{n}}}$

From the given information,Population mean, $\mu=171$ ,Population standard deviation, $\sigma=37.7$ ,Sample size, n=70
Compute the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than $143l \mathrm{~b}$ .

$\begin{aligned}P(\bar{X} > 143) &=P\left(\frac{\bar{X}-\mu}{\sigma / \sqrt{n}} > \frac{143-171}{37.7 / \sqrt{70}}\right) \\&=P(Z > -6.21) \\&=1-P(Z < -6.21) \text { (Use the Excel function NORMSDIST(-6.21)) } \\&=1-0.0000 \\&=1.0000\end{aligned}$

To learn more about standard deviation visit:

brainly.com/question/16555520?

#SP4

4 0

2 years ago