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Lelechka [254]
2 years ago
6

Kristina invests a total of $28,500 in two accounts. The first account earned a rate of return of 10% (after a year). However, t

he second account suffered a 4% loss in the same time period. At the end of one year, the total amount of money gained was $1,310.00. How much was invested into each account?
Mathematics
1 answer:
zhenek [66]2 years ago
7 0

$17500 was invested in the first account at a rate of return of 10% (after a year) while $11000 was invested in the second account at a rate of 4% loss over the same period.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 10% and y represent the amount of money invested at a loss of 4%, hence:

x + y = 28500    (1)

Also:

(x * 1 year * 0.1) + (y * 1 year * -0.04) = 1310

0.1x - 0.04y = 1310   (2)

From equation 1 and 2:

x = 17500, y = 11000

$17500 was invested in the first account at a rate of return of 10% (after a year) while $11000 was invested in the second account at a rate of 4% loss over the same period.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
Which expression is equivalent to 3xy + 10xy - 5x + 2x - 2yx? A) 15xy + 7x Eliminate B) 13xy - 7x - 2yx C) -8xy D) -3x + 11xy
Vedmedyk [2.9K]

3xy + 10xy - 5x + 2x - 2yx

Add 3xy to 10xy

13xy - 5x + 2x - 2yx

Add -5x to 2x

Final Answer: B.) 13xy -3x - 2yx

3 0
3 years ago
Read 2 more answers
Find the gradient of the line segment between the points (-4,-5) and (2,-4).
dezoksy [38]

Answer:

1/6

Step-by-step explanation:

gradient= change in y/ change in x

-4--5/2--4= 1/6

1/6 is the gradient

8 0
3 years ago
5.
rosijanka [135]

Answer:

D 714

Step-by-step explanation:

210 times 3.40

is 714

4 0
3 years ago
Find the value of each variable. Write the<br> equation and solve showing ALL the work.
Wittaler [7]

Answer:

x = 96°

y = 102°

Step-by-step explanation:

Angles on a straight line add up to 180

78 + y = 180

y = 180 - 78

y = 102

Angles in a quadrilateral add up to 360

78 + 90 + x + x = 360

78 + 90 + 2x = 360

168 + 2x = 360

2x = 360 - 168

2x = 192

x = 192/2

x = 96°

3 0
4 years ago
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