1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tomtit [17]
3 years ago
5

Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

pays 2.4% annual interest and the rest in a stock fund that pays 7.2% annual interest. How much should they put into each account so that they earn 6% interest per year?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

Answer:

$6750 in the bank account and $20,250 in the stock fund

Step-by-step explanation:

If B is the money they put in the bank and S is the amount they put in the stock fund, then:

B + S = 27000

1.024 B + 1.072 S = 1.06 × 27000

Solving the system of equations:

1.024 (27000 − S) + 1.072 S = 28620

27648 − 1.024 S + 1.072 S = 28620

0.048 S = 972

S = 20250

B = 27000 − S

B = 6750

They should put $6750 in the bank account and $20,250 in the stock fund.

You might be interested in
720 m/day = m/min <br> Show work.
geniusboy [140]
The answer is 30 because a day is 24 hours so all I did was divide 720 and 24 and it gave me 30. I’m glad that I helped
7 0
3 years ago
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!​
Sindrei [870]

Answer:

Range= (0,∞) and (-∞,0)

Step-by-step explanation:

Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0

8 0
3 years ago
Read 2 more answers
The rate on a cell phone is $0.22 per minute. If Izzy uses her phone for 2 hours, how much does she pay?
Molodets [167]

Answer:

$26.4

Step-by-step explanation:

ight 60 min in an hour

.22 per minute

.22 * 60 = 1 hour rate = $13.2

Multiply dat by 2 for 2 horas

13.2 * 2 = $26.4

5 0
3 years ago
On a number line what does it mean when it said find the ratio of DH to CE when D=30 H=70 C= 20 and E= 40
puteri [66]

Answer:

Multiply the number and divide by how many numbers were added

7 0
3 years ago
Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample
fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

37% of the company's orders come from first-time customers.

This means that p = 0.37

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that n = 225

Mean and standard deviation:

\mu = p = 0.37

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.38 - 0.37}{0.0322}

Z = 0.31

Z = 0.31 has a pvalue of 0.6217

X = 0.26

Z = \frac{X - \mu}{s}

Z = \frac{0.26 - 0.37}{0.0322}

Z = -3.42

Z = -3.42 has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

5 0
2 years ago
Other questions:
  • I need as much as answers as possible and as quick as possible
    11·1 answer
  • Find the perimeter of this sector. Give your answer in terms of <br><img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" ti
    6·1 answer
  • Megan went apple picking and brought home a large bag of apples. She gave away the same number of apples each day. The total num
    7·1 answer
  • How do I do this? (Number 8)
    15·2 answers
  • What values of b satisfy 4(36 + 2)2 = 647
    5·1 answer
  • In Aunt Melly's attics there are also spiders and ants, the total of 136 legs and 20 heads. If a spider has 8 legs and an ant ha
    10·1 answer
  • there are 35 bugs that need to be placed in jars. there can not be more than 10 bugs in each jar and the jars need to be filled
    13·1 answer
  • would it make more sense to buy two 10 inch pizzas or one 20 inch pizza? Explain your answer in detail.
    9·2 answers
  • 10,000 candy canes was divided into 50 boxes. How many candy canes were in each box?​
    12·1 answer
  • Fill in the table (image provided)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!