Answer: <em>81</em>
Step-by-step explanation:
<em>3^4</em>
<em>3x3x3x3</em>
<em>3x3=9</em>
<em>9x3=27</em>
<em>27x3=</em><em>81</em>
Answer:
The first loan L1 = $20,000
This is the loan with 3% simple interest
The second loan L2 = $4,000
This is the loan with 5.5% simple interest
Step-by-step explanation:
L1 + L2 = $24,000 ...(1)
4(3% of L1) + 4(5.5% of L2) = $3,280 ...(2)
Where the first term in equation (2) represents the total interest paid on loan 1 after 4 years
The second term represents total interest accruing to loan 2 after 4 years
From equation (1), we single out L1
L1 = 24,000 - L2
Substitute this value for L1 in equation (2)
288,000 + 10L2 = 328,000
L2 = $4,000
L1 = $24,000 - $4,000 = $20,000
Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
Answer: x=10
Step-by-step explanation:
=
=
5(x+5)=3(3x-5)
5x+25=9x-15
25=4x-15
4x=40
x=10
<span>25: 2 × 2 × 13 65: 5 × 13</span>
