Answer: D. 2.8
Explanation:
7.7 + d = 10.5
Plug 2.8 as d in the equation
7.7 + 2.8 = 10.5
This is a true statement so D is the correct answer!
Answer:
The scale factor is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z----> the scale factor
x----> volume of solid B
y ----> volume of solid A

we have


substitute

![z=\sqrt[3]{\frac{500}{171.5}}=1.429](https://tex.z-dn.net/?f=z%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B171.5%7D%7D%3D1.429)
Answer:
Step-by-step explanation:
F(x) = 2^x
64 = 2^x
2^6 = 2^x
x = 6
f(x) = 2^x
log (f(x)) = x log 2
x = log (f(x)) / log 2 = log_2 (f(x))
Therefore, the required logarithmic function is x = log_2 (f(x))
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Answer:
6:1
Step-by-step explanation:
1 hr= 60 minutes
60 minutes= 3600 seconds
3600:600
36:6
Answer:
Compound interest
Step-by-step explanation:
The question requires us to determine if the interest earned is a simple or compound interest
Simple interest = amount deposited x time x interest rate
Future value with compounding = A( 1 + r)^n
A = amount deposited
r = interest rate
n = time
We would calculate the simple interest and the future value in year 2
Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50
Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50
Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42
The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done