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
Multiply both 1/6=11/66, 3/11=9/66. 1/6 is bigger.
Answer:
-2p +1
Step-by-step explanation:
-4p+(-2)+2p+3
Combine like terms
-4p+2p+3-2
-2p +1
Answer: 662.50 dollars
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Explanation:
If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.
If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%
In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,
0.075x+310 = 0.075*4700+310 = 662.50
She earned 662.50 dollars for that week.
Answer:
Θ = 84°
Step-by-step explanation:
using the identity
cosx = sin(90 - x) , then
cos6° = sin(90 - 6)° = sin84°
that is Θ = 84°