Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:
Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.
Answer:
The value of cos Ф is ± 
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
∵ sin Ф = 
∴ sin²Ф = 
∴ sin²Ф = 
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 -
∴ cos²Ф = 
→ Take square root for both sides
∴ cos Ф = ±
∴ The value of cos Ф is ±
The answer is: 30.4 cm³ .
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The volume = Base Area * height = (8 cm²) * (3.8 cm) = 30.4 cm³ .
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I'm willing to help you with both parts
Since x is the cost of the oranges per pound in cents, the total amount spent on oranges in cents is 3x. Then, you spent 59 cents on cucumbers and 35 cents on bananas. The total amount spent on all food is the sum of the individuals. 3x+59+35. Combine like terms to get 3x+94. This will give you your total in cents. If you need a total in dollars, you would just multiply that expression by 0.01.
