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3 years ago

Amount of cd after 3 years using simple interest formula if the principle is $2,000 and the interest 4%

Mathematics

1 answer:

Ivanshal [37]3 years ago

6 0

Answer:

Amount of cd after 3 years=2240

Step-by-step explanation:

principal==$2000

simple interest=4%

interest /year =80

for 3 years =80 x 3 = 240

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Ben and Carmella want to go to a basketball game. Carmella proposes they use a bag of 90 lettered tiles to decide who will pay f

navik [9.2K]

Answer:

72.1%

Step-by-step explanation:

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3 years ago

Your family is going on a road trip to Disney World! On Day 1, you traveled x miles. On Day 2, you drove 58 miles more than 3 ti

ladessa [460]

First we write the expressions of each day separately:
Day 1:
you traveled x miles:
x
Day 2:
you drove 58 miles more than 3 times the thousands on Day 1:
3x + 58
Day 3:
your family went 25 fewer thousands than Day 1
x-25
Then, we have:
Day 1 + Day 2 + Day 3:
x + (3x + 58) + (x-25)
Rewriting:
x + 3x + x + 58 - 25
5x + 33
Then, for x = 100
5 * (100) + 33 = 533 miles.
answer:
5x + 33
Total miles that family traveled from home to Disney World is
533 miles

5 0

3 years ago

Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x, and the width is

Kipish [7]

We are given

length of rectangular yard is x

so, $L=x$

width of rectangular yard is

so, $W=2x^2-98x+5$

We are given

the length of the enclosed yard is 50 feet

so, we get

$L=x=50$

now, we can plug x=50 and then we can find width

$W=2(50)^2-98(50)+5$

$W=105$

now, we can find total fencing length

so, total fencing length is

$=2L+2W$

now, we can plug values

$=2\times 50+2\times 105$

$=310feet$

now, we are given

the cost of fencing is $13 per foot

so,

total cost = (cost of fencing)*(total fencing length)

we can plug values

$C=13\times 310$

$C=4030$

So, Janice will spend $4030.........Answer

6 0

3 years ago

A student answers 160 of 200 questions on an exam correctly. What percent of the questions did he answer correctly?

Alexandra [31]

Dive correct answers by total questions:

160/200 = 0.80

Multiply by 100 to get percent:

0.80 x 100 = 80%

5 0

3 years ago

Read 2 more answers

A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago