Hey there.
For 5:
We already have been given all the information we need to solve for this- it's just really extensive, so bare with me here.
With our initial deposit of $150 in January, we give 10% of the current value in the following month. This means 10% of 150 will be deposited into the checking account in February, and so on for the rest. I will work this out.
10% of 150 = 15; we deposit $15 into the account in February.
10% of 165 = 16.5; we deposit $16.5 into the account in March.
10% of 181.5 = 18.15; we deposit $18.15 into the account in April.
10% of 199.65 = 19.965; we deposit $19.96 in May (as we don't have an economical value worth a thousandth of a dollar in this problem).
10% of 219.61 = 21.961; we deposit $21.96 in June.
10% of 241.57 = 24.157; we deposit $24.15 in July.
10% of 265.72 = 26.572; we deposit $26.57 in August.
Our total value is $292.29, although if we added the thousandths, we'd have $292.31; therefore your answer is going to be D.) $292.31
I hope this helps!
=2/3 x 4 1/5
Change 4 1/5 to improper fraction
=2/3 x 21/5
Multiply the two numerators together and multiply the two denominators together
= (2*21)/(3*5)
=42/15
Convert back to mixed fraction
= 2 12/15
Simplify by dividing 3 into top & bottom
ANSWER:
= 2 4/5 simplest mixed fraction
Hope this helps! :)
Answer:
It'll take 128 cubes to fill the prism.
Step-by-step explanation:
In order to solve this question we first need to find the volume of the cubes. The volume of a cube is given by the following formula:
volume = length³
So the cubes have the following volume:
volume = (1/4)³ = 1/64
Since we want to know how many of these cubes are needed to fill the prism, we need to divide prism's volume by the volume of the smaller cubes. We have:
number of cubes = (volume of prism)/(volume of cubes)
number of cubes = 2/(1/64)
number of cubes = 2*(64/1)
number of cubes = 128
It'll take 128 cubes to fill the prism.
Answer: y = 57°
Explanation: 180-114 = 66°
A triangle has a total of 180° so 180-66 = 114
114 / 2 = 57° (because angles y and y have the same value)
Hope this helps :)
