the larger triangle has angles of 75° and 55°.
the smaller triangle has angles of 75° and 55°.
the triangles are similar by AA.
First you need to find the slope.
You do this by adding x to both sides to get 3y=x-12
Then, you divide by three on both sides to get y=1/3x -4
to find the new y intercept you insert the point and the slope in the equation
2=1/3(18)+b
You multiply 1/3 and 18 to get 2=6+b
Finally you subtract 6 on both sides to get -4=b.
This means that the equation of the line is the same as the given line
Answer:
I got 1,475
Step-by-step explanation:
<span> x | f(x)
25 | 2
125 | 3
625 | 4
From my research, the above table belongs to the question. The values in x show increasing exponential values of 5, where:
5^2 = 25
5^3 = 125
5^4 = 625
As for the case of f(x), they are the values of the powers. So the logarithmic function that would explain the values of x and f(x) would be:
A base-5 function:
</span><span>f(x) = log5 x</span>
Answer: The account balance will be $6596 after 7 years.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $4500
r = 5.5% = 5.5/100 = 0.055
n = 4 because it was compounded 4 times in a year.
t = 7 years
Therefore,.
A = 4500(1 + 0.055/4)^4 × 7
A = 4500(1 + 0.01375)^28
A = 4500(1.01375)^28
A = $6596
