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
Alexandra [31]
3 years ago
10

A mother earned $​8750.00 from royalties on her cookbook. She set aside​ 20% of this for a down payment on a new home. The balan

ce will be used for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) that earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is ​$420.00​, how much money was invested at each​ rate?
Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is

... 0.80 × $8750 = $7000

If x represents the amount invested at 7%, then the total interest earned is

... (7000 -x)×4% + (x)×7% = 420

... 280 +0.03x = 420

... x = 140/0.03 ≈ 4666.67

$4666.67 was invested at 7%.

$2333.33 was invested at 4%.

You might be interested in
The rate of change in sales for Garmin from 2008 through 2013 can be modeled by
Zina [86]

Answer:

a) The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt

S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C (1)

Where C is the integration constant.

If we know that t = 9 and S(t) = 2.9, then the model for the sales of Garmin is:

-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9

C = 47.112

The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

b) The average sales of the Garmin from 2008 through 2013 (\bar{S}) is determined by the integral form of the definition of average, this is:

\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt (2)

\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112  \right]} \, dt

\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8)   \right]\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)

\bar{S} = 2.5

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0
3 years ago
PLEASE HELP
Gelneren [198K]

Step-by-step explanation:

8.9x-5 and -6.8x+8

8.9-6.8 + -5+8

2.1x+3

4 0
3 years ago
Y = -3 + 1/2x 3x + 2y = 2<br><br><br> Help ASAP this is due today
maxonik [38]
The solution to this would be x=2, y=-2

7 0
3 years ago
John's garden is 12ft long and 15ft wide. How<br> long is John's garden in yards?
kkurt [141]

Answer:

4 yards long

Step-by-step explanation:

John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4

6 0
3 years ago
Read 2 more answers
Please explain and answer correctly!! George flips a colored chip that is red on one side and black on the other a total of 20 t
sergejj [24]

Answer:

The chip has no memory so the probability is just 1/2.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Can you please help me with 22.? (BE SERIOUS) (ITS DUE TOMORROW)
    7·1 answer
  • What is the least common denominator for 5/6 and 3/8
    9·1 answer
  • At school there are 526 students and 263 are girls about how likely is it that a randomly chosen student will be a boy
    8·2 answers
  • Which fraction is equivalent to -4/6
    5·1 answer
  • I'm really struggling with this form if you could leave steps that'd be amazing!
    8·1 answer
  • I need help with this
    8·2 answers
  • 2. What is the slope? Explain your answer.
    7·1 answer
  • 3x9 is 27 <br><br>9,18,27<br><br>if you need more support just ask me ;)
    7·2 answers
  • Use the fraction model to multiply: two multiplied by four sixths. Leave your answer as an improper fraction.
    12·2 answers
  • Evaluate the given problems.1. (3x + 1)(2x2 + x + 8)2. (5y5 – 15y4 + 25y2) ÷ (5y)3. Use long division to solve (x2 + 2x + 4) ÷ (
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!