You just add the values for volunteers that worked 16-20 hours and 21-25 hours which would be 50 + 10 = 60. So the total number of volunteers that workers more than 15 hours is 60.
Hundreds place!
6 is ones
3 is tens
8 is hundreds
Answer:
$798
Step-by-step explanation:
Jack invested $7100 compounded continuously at an interest rate of 3⅝% which is 0.03625
Formula for future value of continuous compounding is;
FV = PVe^(rt)
Where;
FV is future value
PV is present value
r is interest rate
t is time
After 19 years;
FV = 7100 × e^(0.03625 × 19)
FV = $14137.697
Henry invested $7100 compounded monthly at an interest rate of 3⅜% which is 0.03375.
Formula for FV of monthly compounding is;
FV = PV(1 + i)^(n)
FV = 7100(1 + 0.03375)^(19)
FV = $13339.922
Thus, amount Jack has more than Henry = 14137.697 - 13339.922 = $797.775
Approximating to the nearest dollar gives $798
Answer:
width = 5 feet
length = 11 feet
Step-by-step explanation:
Using one variable and setting up two expressions equal to the total area of the rectangle will determine the dimensions of the rectangle.
w = width
l = '4 feet less than three times the width' or 3w - 4
Area = length x width
A = w(3w - 4) = 55
Distribute: 3w² - 4w = 55
Set equation equal to '0': 3w² - 4w - 55 = 0
Multiply 3 x -55 = -165 and find two factors with a product of -165 and sum of -4: -15 and 11.
3w² - 15w + 11w - 55
Group and find the GCF (greatest common factor):
3w(w - 5) + 11(w - 5)
(3w + 11)(w - 5) = 0
3w + 11 = 0 and w - 5 = 0
w = -11/3 not possible to have negative measurement
w = 5 feet
Solve for length: 3(5) - 4 = 11 feet
Apply a law of exponents. When multiplying you add the exponents:-
2^-3 * 2^x * 2^(x+2)
= 2 ^(-3 + x + x + 2)
= 2^(2x - 1) Answer
