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
Katarina [22]
3 years ago
9

A $10,000 investment is made partly in a GIC at 5% and partlly in a mutual fund that will earn 7.5%. If the same amount of inter

est is earned in both, how much was invested in each rate?
Mathematics
1 answer:
kvv77 [185]3 years ago
8 0
Hi there

If the same amount of interest is earned in both so we should create the equation according to that

0.05x=0.075 (10000-x)
Solve for x
0.05x=0.075×10000-0.075x
0.05x=750-0.075x
0.05x+0.075x=750
0.125x=750
X=750÷0.125
X=6000 invested at 5%

10000-6000=4000 invested at 7.5%

Check your answer
0.05×6000=0.075×4000
300=300

Good luck!
You might be interested in
The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
For the data set below, which of the following are true? {12, 18, 28, 14, 18, 20, 12}
iragen [17]
Alright bud the best answer to this question will be that the mode is 12 because it appears the most
6 0
3 years ago
Read 2 more answers
Suppose you are solving an inequality. Under what circumstances do you reverse the inequality symbol? Select all that apply.
eduard

The answer is C! Hope this helps :)

3 0
3 years ago
Read 2 more answers
A gambling casino is designed in the shape of a square pyramid with a side length of 75 ft. The height of the building is 28 ft.
irakobra [83]

Answer:

Step-by-step explanation:

Given the dimension of a square pyramid

Length of pyramid

L = 75 ft

Height of pyramid

H = 28ft

The pyramid is a square base

Then,

Volume of a pyramid is calculated using

Volume = base area × height

Since base is a square, then the area of a square is

Area = L² = 75² = 5625 ft²

Then,

Volume = base Area × height

Volume = 5625 × 28

Volume = 157,500 ft³

Then, given the rate of volume to be

dV / dt = 26,250 ft³ / hr

So, we want to find the time the system will filled the air

dV / dt = 26,250

dV = 26,250 dt

Integrate both sides

∫ dV = ∫ 26,250 dt

V = 26,250t + C

When t = 0, V = 0, initially, there is not volume of system air.

Therefore C = 0

V = 26,250t

When V = 157,500 ft³

Then,

t = V / 26,250

t = 157,500 / 26,250

t = 6 hours

So, it will take 6 hours for the system to circulate the room

5 0
3 years ago
Find the area of the following triangle. Show your<br>work!​
11111nata11111 [884]

Answer:

man/woman show the triangle

7 0
3 years ago
Read 2 more answers
Other questions:
  • The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at
    14·1 answer
  • Can someone help me work through this ??
    5·1 answer
  • ​'s car will go 310 miles on 15.5 gallons of gasoline in highway driving.
    8·1 answer
  • Plaining What was the purpose of the Continental Congress?
    6·1 answer
  • Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4
    6·1 answer
  • 303 is what percent of 600?explain
    10·2 answers
  • Which of the following is the product of the rational expression 1/x+2 × x/x-2
    10·1 answer
  • A clothing store is having a one
    6·1 answer
  • James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar
    10·2 answers
  • -3 = -3 (2t+1) <br> t=?<br> Step by step please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!