Use the compound amount formula:
$2,300 = P(1+0.02)^3. Solve this for P:
P = $2,300 / (1.02)^3 = $2167.34.
By depositing $2,167.34 now, Cheryl would have $$2300 after three years.
Answer:
6 packet.
Step-by-step explanation:
Given:
Mrs. White's students are making school spirit packs.
They have 24 bumper stickers and 18 window clings.
Every pack must have the same contents and there should be no leftover items.
Question asked:
What is the greatest number of packs they can make?
Solution:
To find the<u> </u><u>greatest number</u> of packs could be made by 24 bumper stickers and 18 window clings by using<u> </u><u>same contents</u> in each pack with<u> </u><u>no left over </u>items, we will simply use<u><em> Highest Common Factor.</em></u>
Factor of 24 - 2, 3, 4, <em><u>6</u></em>, 8, 12, 24
Factor of 18 - 2, 3, <em><u>6</u></em>, 9, 18
Highest Common Factor is 6.
Thus, they can make 6 packet at most.
Answer:
Below in bold.
Step-by-step explanation:
I'll solve a few of them to illustrate the method:
a) 5x - (3x - 1) = x - 4
The aim is to get all the 'x' terms to one sides of the '=' and the numbers to the other side:
Distribute the negative over the 3x - 1 in the parentheses:
5x - 3x + 1 = x - 4 ( Note that -* -1 = + 1)
Now subtract 1 from both sides:
5x - 3x + 1 - 1 = x - 4 - 1
5x - 3x = x - 5
Now subtract x from both sides:
5x - 3x - x = x - x - 5.
2x - x = -5
x = -5.
(b) 3/5 x + 1 = 2/5 - 3x
We first get rid of the fractions by multiplying each term by 5:
5 * 3/5 x + 1*5 = 5 * 2/5 - 5*3x
3x + 5 = 2 - 15x
3x + 15x + 5 = 2 - 15x + 15x (adding 15x to both sides)
18x + 5 = 2 Subtract 5 from both sides:
18x + 5 - 5 = 2 - 5
18x = -3
Now we divide both sides by 18:
x = -3/18 = -1/6.
g) 0.3(6 + m) = 0.4(8 - m)
0.3 * 6 + 0.3* m = 0.4*8 + 0.4 * -m ( Distributing the 0.3 and 0.4 over the parentheses)
1.8 + 0.3m = 3.2 - 0.4m ( recall that + * - = -)
1.8 - 1.8 + 0.3m = 3.2 - 1.8 - 0.4m
0.3m = 1.4 - 0.4m
0.3m + 0.4m = 1.4 - 0.4m + 0.4m
0.7m = 1.4
m = 1/4/0.7
m = 2.
I hope this helps.
Answer:
<h2>
1 31/104</h2>
Step-by-step explanation:
First, let's turn them both into improper fractions.
3 3/8 = 27/8
Now we can multiply
It is 5*27 / 13 * 8
This equals: 135 / 104
Simplified even further is:
1 31/104
