Answer:
1) future value = present value x [1 + (i x n)] = $300 x [1 + (3.5% x 4)] = $342
2) using the compound interest formula:
future value = $225 x (1 + 4.1%)¹°⁵ = $238.98
Using the simple interest formula doesn't yield the same answer = $225 x [1 + (4.1% x 1.5)] = $238.84. In this case it is close due to a very short period of time and low interest rate.
3) future value = present value x (1 + i)ⁿ = $1,700 x (1 + 6%)⁴ = $2,146.21
since the interest is annual, we must convert 48 months to 4 years
Answer:
|(-a)²| = | a² | = a²
Step-by-step explanation:
absolute value is always positive number as well as any number squared so sign is positive no matter what
Answer:
The top of the ladder is now at 10 ft.
Step-by-step explanation:
At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:
The base is moved twice the distance the height moves up.
We called this distance x, so we have:
The new height (H+x) is
The base travels 2x=8, so the new base B' is 0.
This means that the ladder is all against the wall (L=H').
Answer:
a) 4 ; b) 8
Step-by-step explanation:
4×3-8 = 12-8 = 4
4×4-8 = 16-8 = 8
Answer:
x = - 39/148
y = -6/37
Step-by-step explanation:
substitute the given value of y into the equation to get 8x-13 (12x+3)=0
solve for x to get x= - 39/148
substitute the given value of x into 12x+3=y
12 x (-39/148) + 3 = y
-6/37 = y
