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DiKsa [7]
3 years ago
14

A bank loaned out ​$16000​, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one

year totaled ​$1500​, how much was loaned at 7 % question mark How much of the ​$16000 did the bank loan out at 7 % question mark
Mathematics
1 answer:
IceJOKER [234]3 years ago
5 0

Answer:

  $11,250

Step-by-step explanation:

Normally, when I work "mixture" problems, I like to choose the variable so it represents the amount of the largest contributor. Here, that would be the amount invested at 15%.

Unfortunately, the question asks for the amount invested at 7%. Using a variable to represent that amount means that there will be negative numbers involved. Care must be taken in the arithmetic.

Let x represent the amount invested at 7%. Then 16000-x is the amount invested at 15%. The total interest for one year is ...

  0.07x + 0.15(16000 -x) = 1500 . . . . sum of interest amounts at each rate

  -0.08x +2400 = 1500  . . simplify

  -0.08x = -900 . . . . . . . . subtract 2400

  x = 11250 . . . . . . . . . . . . divide by -0.08

The bank loaned $11,250 at 7%.

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Hay 150 numeros en una rifa ¿ cuantos habria que comprar para tener un 8% de probalidad pra ganarla
krok68 [10]

Answer:

12 numeros

Step-by-step explanation:

para que pueda obtener el 8% de probabilidad, tendrá que comprar el 8% de los números

8% x 150

<u> 8 </u>  x 150

100

=12 numeros

espero eso ayude

3 0
3 years ago
⚠URGENT!!!⚠ <br><br> solve for m.
Zinaida [17]

Answer:

Step-by-step explanation:

Remark

Read the following carefully.

There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.  

To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.

For this problem <BDC = <CAB = 33 degrees.

That means that ADC = 37 + 33 = 70

Solution

<ADC and CBA are opposite angles.

That means that they add to 180

From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71

<ABC + ADC = 180

m + 71 + 70 = 180        Combine

m + 141 = 180               Subtract 141 from both sides.

m+141-141= 180 - 141    Combine

m = 39

Answer: m = 39

3 0
2 years ago
What is the sum and the product of X to the power of 2, and X
melomori [17]

Answer:

The sum is x^2 + x, the product is x^3.

Step-by-step explanation:

Adding x^2 and x leaves no like terms, so no simplification is required.

Multiplying gives x^2*x, which is x*x*x, which is then x^3

3 0
3 years ago
Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that i
Oksana_A [137]

Answer:

equation 2

Step-by-step explanation:

6 0
2 years ago
What is 3d+8=2d-7 is equations
fredd [130]
3d + 8 = 2d - 7 equals d = -15.

First, 
subtract 2d from both sides. Your problem should look like: 3d + 8 - 2d = -7.
Second, simplify 3d + 8 - 2d to get d + 8. Your problem should look like: d + 8 = -7.
Third, subtract 8 from both sides. Your problem should look like: d = -7 - 8.
Fourth, simplify -7 - 8 to get -15. Your problem should look like: d = -15, which is your answer.

Hopefully this helps, I'm not exactly sure what you meant by "is equations," but this is how you solve the problem.
6 0
3 years ago
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