Answer:
The finalbank account amount will be $10,412.50, earning$7,012.50 in interest.
General Formulas and Concepts:
Algebra I
Simple Interest Rate Formula:
Step-by-step explanation:
Step 1: Define
Identify given variables.
P = $3,400
r = 0.0825
t = 25
Step 2: Find Interest
∴ the bank account will gain$7,012.50 and have a net balance of $10,412.50.
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Topic: Algebra I
#SPJ2
Using the formula for compound interest, we can find out that the sum of $3400, invested for 25 years at 8.25% annual interest compounded yearly, will amount to approximately $26358.85.
The question relates to calculating compound interest rather than simple interest. We're given $3400 as the principal, an annual interest rate of 8.25% and 25 years as the time period. We assume that the interest is compounded annually. Typically, we use the formula A=P(1+r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate in decimal form, n is the number of times that interest is compounded per unit t, t is the time the money is invested for.
In this situation, r = 8.25/100 = 0.0825, P = $3400, t=25, and since it's yearly compounded n=1. Therefore, the equation becomes A = $3400 * (1+0.0825/1)^(1*25). The eventual amount will be approximately $26358.85. Thus, $26358.85 will be in the account after 25 years to the nearest cent.
#SPJ12
The length of the other leg is __ in
The measures of the acute angles are : __ and __
General Idea:
By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.
Given:
We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).
The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.
Conclusion:
The length of the other leg is 4√3 in
The measures of the acute angles are : 30° and 60°
Answer:
$95
Step-by-step explanation:
We are told that Carmen makes a monthly payment of no more than 200 dollars. We then see her going above the 200 dollars so we look to the tens and ones place. We see that we now have 25, 45, and 35 dollars. Add them up and you get 105 dollars. 200-105=95 so your awnser is $95.
Answer: At 20 miles.
Step-by-step explanation:
60 + 2m = 40 + 3m
-40
20 + 2m = 3m
-2m
20 = m
divide 18 cups if flour into two groups so the ratio is 4 to 5