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
V125BC [204]
3 years ago
6

Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited thre

e times the amount he deposited in the previous month. On June 15 of the same year, the total amount Mr. Jamison has deposited is $
Mathematics
2 answers:
tester [92]3 years ago
7 0

Answer:

36,400

Step-by-step explanation:

Lera25 [3.4K]3 years ago
5 0

Answer:

$36 400

Step-by-step explanation:

Step 1

The first step is to figure out how much money is saved at the end of each month for the period from January 1 to June 15. The amount deposited at the end of each month is obtained by multiplying the amount from the previous month by 3.

The amount deposited in January is  \$100.

The amount deposited in February is 1\$00\times 3= \$300.

The amount deposited in March is  \$300\times 3= \$900.

The amount deposited in April is  \$900\times 3= \$2\700.

The amount deposited in May is  \$2\,700\times 3= \$8\,100.

The amount deposited in June is  \$8\,100\times 3= \$24\,300.


Step 2

The next step is to add up all the money that was deposited into the account. This calculation is shown below,

\$100+\$300+900+\$\$2\,700+\$8\,100+\$24\,000=\$36\,400


You might be interested in
The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra
Snezhnost [94]
Let X denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by X_1,\ldots,X_{36}, each independently and identically distributed with distribution X_i\sim\mathcal N(26,7.2).

You want to find

\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)

Recall that if X\sim\mathcal N(\mu,\sigma), then the sampling distribution \overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right) with n being the size of the sample.

Transforming to the standard normal distribution, you have

Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}

so that in this case,

Z=6\dfrac{\overline X-26}{7.2}

and the probability is equivalent to

\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)
=\mathbb P(Z>1.481)\approx0.0693
5 0
3 years ago
SOMEONE PLEASE HELP ASAP!!!!!
Margaret [11]

Answer:

<em>x = 1</em>

<em>y = 1</em>

Step-by-step explanation:

<u>System of Equations</u>

We are given the system of equations:

2x + y = 3

x = 2y - 1

Substituting x in the first equation:

2(2y - 1) + y = 3

Operating:

4y - 2 + y = 3

5y = 3 + 2

y = 5/5 = 1

y = 1

Since:

x = 2y - 1

Then:

x = 2(1) - 1

x = 1

Solution:

x = 1

y = 1

7 0
3 years ago
Which number shows 6,312 rounded to the nearest ten?<br><br> 6,300<br> 6,310<br> 6,320<br> 6,330
Fiesta28 [93]

1 is in the tens place

we look at 2

2 <5 so we leave it alone

6,310

Choice B

7 0
3 years ago
Read 2 more answers
5(1+32)<br> --------------<br>         12
blagie [28]
5(1 + 32) = 5(33) = 165
8 0
3 years ago
HELP!! PLEASE EXPLAIN
yanalaym [24]

Answer:

10 pieces

Step-by-step explanation:

basically you divide 7.5 by .75 which equals 10.

You do that because you are seeing how many 3/4 inch pieces are in 7 and a half inches of ribbon and 7 1/2 = 7.5     and     3/4= .75

3 0
2 years ago
Other questions:
  • Do you have to line up the decimals when multiplying
    12·1 answer
  • Amelia is going to buy some cards for her friends.Each card costs $3.She finds a coupon for $2 off the entire purchase.Write an
    6·1 answer
  • What is 2.5 divided by 1000
    15·1 answer
  • Is x^2+13x-4=0 a quatratic function? Why?
    6·1 answer
  • Hellpppp pleasseeeeee hurryyyyyy
    12·1 answer
  • Help please, I don’t understand
    6·1 answer
  • the mass of a textbook is approximately 0.00165 metric ton . how is this number written in scientific notation
    6·1 answer
  • Steven wishes to save for his retirement by depositing $2,000 at the beginning of each year for thirty years. Exactly one year a
    10·1 answer
  • A company gives a bonus to two salespeople, Miss Xu and Ms Trent, in the ratio of the
    8·1 answer
  • write an equation in point-slope form of the line that passes through the point (-3,6) and has a slope of 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!