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nikklg [1K]
2 years ago
7

At what rate per cent per annum will $400 yield an interest of $78 in 1 1/2 years?

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
5 0

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it!   23

Step-by-step explanation:

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Use distributive property to clear parentheses-(3x-4y+5z)=
Vadim26 [7]

Answer:

-3x + 4y -5z

Step-by-step explanation:

-3x -(-4y) -5z

-3x+4y-5z

6 0
3 years ago
What are the values the values of a and b?
Setler [38]
The segment marked 20 is the geometric mean of the two pieces into which it splits the hypotenuse. You get the proportion

\frac{20}{a} = \frac{21}{20}

Solving,

21a =(20)(20) \\ 21a = 400 \\ a = \frac{400}{21}

To find  b,  use the fact that  b  is the geometric mean of the whole hypotenuse, 21 + a, and the part that is attached to it,  a.

\frac{b}{a} = \frac{21+a}{b}

A little arithmetic shows that 21+a = \frac{841}{21}.

\frac{b}{\frac{400}{21}} = \frac{\frac{841}{21}}{b} \\ b^2 = \frac{336400}{441} \\ b=\frac{580}{21}
4 0
3 years ago
A bank loaned out $20,000, part of it at the rate of 9% per year and the rest at 17% per
Black_prince [1.1K]

Answer:

The bank loan out at $5000 at 9%

Step-by-step explanation:

A bank loaned out $20,000

Let x be the amount loaned at at the rate of 9% per year

So, 20000-x amount loaned at at the rate of 17% per year

Formula : A =P(1+r)^t

Amount at 9% interest in 1 year

A=x(1+0.09)^1

A=1.09x

Interest = Amount - Principal = 1.09x-x=0.09x

Amount at 17% interest in 1 year

A=(20000-x)(1+0.17)^1

A=1.17(20000-x)

Interest = Amount - Principal = 1.17(20000-x)-(20000-x)

We are given that the interest received in one year totaled $3000

So,1.17(20000-x)-(20000-x)+0.09x=3000

x=5000

So, the bank loan out at $5000 at 9%

6 0
3 years ago
PLEASE HELP ASAP! TYSMM
DerKrebs [107]
This is in the lower right corner and is a right triangle.  So we use the Area calculation of a right triangle.

<u>ab</u>    =  <u>(4)(2)</u>    The height is given as 4 in and we know the base is 2 in
 2             2            We know this because the top right distance is given as 2
          
              8 / 2 = 4 square inches

7 0
3 years ago
What is the slope of the graph of the equation below? 3x+y=5<br> A -5<br> B -3<br> C 3<br> D 5
OverLord2011 [107]
3x+y=5

We move x to the other side
Y= _3x+5

So the slope is _3
The answer is B
7 0
3 years ago
Read 2 more answers
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