Answer:
7/12
Step-by-step explanation:
You can pretend the given ratio units are the actual weights. Then the desired ratio is ...
book : mug = 7 : 5
book : (book +mug) = 7 : (7 +5) = 7 : 12
The weight of the book is 7/12 of the total weight.
Answer:
27,600
Step-by-step explanation:
15% of 24,000 is 3,600, 24000 + 3600 = 27,600
Answer:
D
Step-by-step explanation:
A: You wear a glove on your hand
B:Same answer as A
C:A wool sock is worn on your foot but it's not made of leather
D:Is made of leather and can be worn on your foot
Answer:

Step-by-step explanation:
The formula for continuously compounded is:

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.
The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.
- 1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015
Now we know all the values and can substitute them into the formula.


Solve the multiplication in the exponent first.

Solve the exponent.


Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

The account balance will be <u>$9,534.37</u> after 16 years.
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105