Given
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Total interest paid was $475
Find out he invest in each.
To proof
Let us assume that Paul invested in an account paying 4% be = x
As given in the question
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.
Let us assume that Paul invested in an account paying 5% be = 3x
Total interest paid = $475
First convert 4% in the decimal form
= 0.04
First convert 5% in the decimal form
= 0.05
Than the equation become in the form
0.04x + 0.05 × 3x = 475
0.04x + 0.15x = 475
0.19x = 475
x = $2500
Paul invested in an account paying 4% be = $2500
Paul invested in an account paying 5% be = $7500
Hence proved
Answer:
Option: c is correct.
Step-by-step explanation:
We are given that paco needs at least 3/8 yard of twine to build a model ship.
that is we require twine of amount greater than 3/8 yards.
<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>
a)
3/10 yard.
As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/10 < 3/8
Hence option a is incorrect.
b)
1/4 yard
As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.
as 2/8 < 3/8
since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.
Hence option b is incorrect.
c)
3/4 yard
Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/8 < 3/4
Hence, option c is correct.
d)
1/8 yard
clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.
Hence, 1/8 < 3/8
Hence, option d is incorrect.
Answer:
The value of k is 
and The value of p is - 23
Step-by-step explanation:
Given equation as :
81 y - 17 = k² y + 6 + p
The equation has real solution ,
Now for real solution the equation have no solution
∵ The equation has no solution the ,
The coefficient of y must be equal
I.e 81 = k²
Or, k = 
∴ k =
Again , If the coefficient of y is same then the equation is written as
6 + p = - 17
or, p = - 17 - 6
or, p = - 23
Hence The value of k is and The value of p is - 23 Answer
Answer:
40
Step-by-step explanation:
10 x 8 equals the area for a square/rectangle then multiplied by .5 equals area for a triangle. You multiply because triangles are half of a square.
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