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
snow_lady [41]
2 years ago
8

Carolyn received a check last week . She invested part at 15% and 1000 more than this amount at 16%. If she will earn $780 in in

terest in a year, how much was invested at each rate?
Mathematics
1 answer:
Gelneren [198K]2 years ago
7 0

Answer:

$2,000 was invested at 15% rate.

$3,000 was invested at 16% rate.

Step-by-step explanation:

Carolyn received a check last week.

She invested part at 15%  and;

$1000 more than this amount at 16%

She will earn simple interest of $780 in one year.

Simple interest formula is;

I = PRT

Where I is the interest, P is the amount invested, R is the rate and T is the time.

<h3>Lets say the part invested at 15% rate was $x</h3>

Interest earned here = $x × \frac{15}{100} × 1 = $0.15x

<h3>The amount invested at 16% was $x + $1000</h3><h3 />

Interest earned here = ($x + $1000) × \frac{16}{100} × 1 = $0.16x + $160

<h3>Total interest earned is equal to:</h3><h3 />

$0.15x + $0.16x + $160 = $780

$0.31x = $780 - $160 = $620

$x = $620 ÷ 0.31 = $2000

<em>So the amount invested at 15% rate was $2000 and;</em>

<em>The amount invested at 16% rate was $2000 + $1000 = $3000</em>

You might be interested in
I think of a number, then divide by 5, then subtract 78 -the result is nine
KATRIN_1 [288]

Answer:

Imagine that the number that we are looking for is x

We know that:

x/5 - 78 = 9

x/5         = 9 + 78

x/5         = 87

x             = 87 . 5 = 435

So the number we need is 435

8 0
3 years ago
The exact value of cos 13pi/8 is
Naily [24]

Answer:

answer is : Cos(13pi/8) = 0.3826  

Step-by-step explanation:

We have, Cos (13pi/8)

Since 13pi/8 can be shown as 3pi/2 < 13pi/8 < 2pi

Hence 13pi/8 lies on fourth quadrant.

In fourth quadrant cosine will be positive.

Cos (13pi/8) = cos(3pi/2 + pi/8)

applying formula cos(A+B) = cos A cosB - sinAsinB

i.e Cos(3pi/2 + pi/8) = cos(3pi/2)cos(pi/8) - sin(3pi/2)sin(pi/8)

∵ Remember cos(3pi/2) =0 , sin(3pi/2) = -1

     Cos(3pi/2 + pi/8) = 0 cos(pi/8) - (-1)sin(pi/8)

     Cos(3pi/2 + pi/8) = 0  + 0.3826

      Cos(3pi/2 + pi/8) = 0.3826

Hence we got Cos(13pi/8) = 0.3826                          

6 0
3 years ago
Read 2 more answers
I need help on this question
schepotkina [342]

Answer:

  0 4 9 1

             _____________

1 9      9 3 2 9

 − 0      

   9 3    

 − 7 6    

   1 7 2  

 − 1 7 1  

       1 9

     − 1 9

         0

Step-by-step explanation:

Sorry of this isn't clear

6 0
3 years ago
For the function f(x) = –5x, which ordered pair will be a point on the graph of the function?
Drupady [299]
It's D: (0,0)
This is because when you put 0 in for x your y value will equal 0 and that is one of your answers, so it's the point (0,0) 
8 0
2 years ago
Math plzzz helppp.due today!!!!will mark brainliest
mario62 [17]

Answer:

I think that's right. I checked my answer and proved it on that sheet.

8 0
3 years ago
Other questions:
  • Simplify -2/3 squared 63x^3
    14·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·2 answers
  • Fill in the blanks to complete the following chart. (Round to the nearest tenth.) You will not use all of the
    10·1 answer
  • Please help me please
    10·1 answer
  • Question 17 please help
    12·1 answer
  • Lin is saving $300 per year in an account that pays 4.5% interest per year, compounded annually. How do I find the value after 2
    15·1 answer
  • Can anu one help me out
    5·2 answers
  • Describe the transformation of f(x) to g(x). Pleaseee helllp thank youuuu!!!
    6·1 answer
  • Help? anyone<br> 8th grade math
    7·2 answers
  • C Panuto: Basahin ang maikling kwento. Pagkatapos sagutin ang mga katanungang naibigay. 1. Ano ang paksa ng kwento? A. Pagtulong
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!