joe correctly answered 70% of the questions on a test. there were 50 questions. how many questions did joe answer correctly?
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Booker owes 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 games. How many more video games Does he have room for?
Dinesh thinks that the point (1,3) is on the line y = 4x - 2.State whether Dinesh is correct and give a reason to justify your answer.pls help me thanks
Can some one help me? Please!
What is the quotient of 4/7 divided by 6
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Answer:
NO
Step-by-step explanation:
Answer:
NO
Step-by-step explanation:
A direct variation is defined as when two numbers change but one is always a multiple of the other or if they always have a constant ratio.
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Cross multiply: 0.9*?= 36*100
⇒ ?= 36*100/0.9= 4000
36 is 0.9% of 4000.
you can use a calculator
$974.83
$973.38
$403.43
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A = 535 * (2.718)^(10 * 0.06)
A = 974.83
answer is $974.83
Compound Interest can be defined as the interest that is accumulated on a particular sum of money or investment after a given period of time.
The investment will be worth $974.83 in 10 years.
The formula to solve for the amount an investment will be worth if it is compounded continuously is given as:
A = Pe^rt
P = Principal = $535
R = Interest rate = 10%
T = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = Pe^rt
A = 535(2.71828)^(0.06 x10)
A = $974.83
Therefore, the investment will be worth $974.83 in 10 years.
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Answer:
The total amount after 2 years of Joann's investment at a rate of 6% compounded annually is US$ 48.314.80 (rounded to the nearest cent)
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 43,000
Duration of the investment = 2 years
Annual interest rate = 6% compounded annually
2. Let's find the future value of this investment after 2 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Investment = US$ 43,000
number of periods (n) = 2 (2 years compounded annually)
rate (r) = 6% = 0.06
Replacing with the real values, we have:
FV = 43,000 * (1 + 0.06) ²
FV = 43,000 * (1.06) ²
FV = 43,000 * 1.1236
FV = US$ 48.314.80
Answers
1. x = 4
2. x = 3
3. x = 2 and x = -3
Step-by-step explanation:
solution 1
= 4
or, 3x+4 = 16 ( by squaring both sides)
or, 3x = 16 - 4
or, 3x = 12
or, x = 12/3
=4
solution 2
(x+5)^(2/3) = 4
or, (x+5) = 4^(3/2) ( by the rule of index)
or, x+5 = 2^3
or, x + 5 = 8
or, x = 8 - 5 = 3
solution 3
- x = 1
or, = x+1
or, x + 7 = (x+1)^2 (squaring both sides)
or, x + 7 = + 2x +1
or, + x - 6 = 0
or, + 3x - 2x - 6 = 0 ( by middle term factor method)
or, (x+3) (x -2) = 0
or, x= -3 and x = 2