John is going to invest $820 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for John to end up with $1,830?
Answers
John would need an interest rate of 7.6% in order to end up with $1,830 after 19 years of investing $820 compounded quarterly
Cube with each face number 1,2,3,4,5,6. what is the probability if you roll the cube 4 times, you will get the number 5 each time
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Roll 1: 1 number out of 6 total numbers = 1/6 Roll 2: 1 number out of 6 total numbers = 1/6 Roll 3: 1 number out of 6 total numbers = 1/6 Roll 4: 1 number out of 6 total numbers = 1/6
Roll 1 AND Roll 2 AND Roll 3 AND Roll 4 1/6 x 1/6 x 1/6 x 1/6 = 1/1296
Both Todd and Zack earn the same salary. Todd spent $716 and Zack spent $128. Then Zack had 4 times the amount of money Todd had left. How much is their salary? Please tell me how and what your answer is?
Answers
They both earn the same salary. Call it ' S '.
After Todd spent 716, he had (S - 716) left.
After Zack spent 128, he had (S - 128) left.
The question says that Zack has 4 times as much as Todd has, so
(S - 128) = 4 times (S - 716)
Eliminate parentheses on the right side:
S - 128 = 4S - 2,864
Subtract ' S ' from each side:
-128 = 3S - 2,864
Add 2,864 to each side:
2,736 = 3S
Divide each side by 3 :
912 = S ==========================
Check: After Todd spends 716, he has (912 - 716) = 196 left. After Zack spends 128, he has (912 - 128) = 784 left. 784/196 = exactly 4 times. yay !
Multiply 4.6 x 2/7 round the answer to the nearest hundredth
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type into the calculator: 4.6*(2/7) the calculator answer is 1.31428... we want to round to the nearest hundredth. the hundredths place is in bold: 1.31428 to round, we look at the number to the right of the hundredths place, which is underlined: 1.31428 if the number on the right is 5 or greater, we add 1 to the number to the left. if the number on the right is 4 or less, then we leave the number on the left alone. the number on the right here is 4, so we leave the number on the left alone, leaving us with 1.31
4.6x2/7 well I converted 2/7 to its decimal which is 0.285714286 then did 4.6x0.285714286 and got 1.314285716
What is the prime factorization of 58
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The prime factorisation for 58 is 2 x 29
:)
divide by 2, you get 2 *29, the factorization is 2 *29
What have been the major turning points in algebraic knowledge trough out history?
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There are a lot of turning point in the history of algebra one of those is the discovery of the plain and the quadrants by Rene Descartes. This discovery paved way to a lot of knowledge which was later on use in solving other complicated mathematical problems.