Answer: 8525
Step-by-step explanation
Let the total number votes = x
Ratio of yes votes = 7
Ratio of no votes. = 4
Total vote. = 11
Total number that voted for yes
= 5425
Therefore total number of vote casted.
7/11 x X = 5425
7x/11 = 5425
7x = 5425 x 11
7x = 59675
To find x , divide through by 7
x = 59675/11
= 8525
Answer:
let the width of the rectangle be x inches
then the length would be 2x-6
as perimeter =2(l+b)
putting values in formula
perimeter = 2(2x-6+x)
p= 6x-12 but as perimeter p=54inches so
54=6x-12
54+12=6x
66=6x
x=66/6
x=11 inches
width is 11inches and length is 2x-6= 2(11)-6=22-6=16 inches
Step-by-step explanation:
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
O . F'(x) = 2 - x
O B. f'(x) = x-2
O c. f'(x) = 2x
OD. F'(x) = x+2
Answer:
D
Step-by-step explanation:
let y = x - 2 and rearrange making x the subject, that is
y = x - 2 ( add 2 to both sides )
y + 2 = x
now change x to (x) and y back to x, thus
(x) = x + 2 → D