a) Simple interest earned by customer in 10 years is $ 675
b) Account balance after 10 years is $ 5175
<em><u>Solution:</u></em>
<em><u>The simple interest is given by formula:</u></em>
Where,
"p" is the principal
"r" is the rate of interest
"n" is the number of years
<em><u>a. How much interest will the customer earn in 10 years?</u></em>
From given,
Principal = p = $ 4500
Simple interest rate = r =1.5 %
n = 10
Substituting the values in formula,
Thus simple interest earned by customer in 10 years is $ 675
<em><u>b. What will the account balance be after 10 years ?</u></em>
Account balance = principal + simple interest
Account balance = 4500 + 675 = 5175
Thus account balance after 10 years is $ 5175
Step-by-step explanation:
linear function
y = ax + b
f(-4) = -4
x = -4
y = -4
-4 = a×-4 + b
f(4) = -1
x = 4
y = -1
-1 = 4a + b
sum both equations
-5 = 0 + 2b
b = -5/2
-1 = 4a - 5/2
3/2 = 4a
a = 3/2 / 4 = 3/8
the function would be
y = 3/8 x - 5/2
Answer:
Step-by-step explanation:
When two angles add up to 90, they are complementary angles
∠a + ∠b = 90
59 + ∠b = 90
∠b = 90 - 59
∠b = 31°
Answer:
150
Step-by-step explanation:
The perimeter of a triangle is defined or given as the summation of all its 3 sides.
Mathematically,
The perimeter of a Triangle = Side A + Side B + Side C
In the above question, we are to find the perimeter of Triangle AGN.
In the diagram , we have an inscribed circle of RTE
Therefore these values are given in the question.
Side AR = 35
Side RG = 21
Side EN = 19
We have an inscribed Triangle in the question with its side touching the Triangle. This means we have lines that are tangent. Hence we have,
Side EG = Side RG = 21
Side TN = Side EN = 19
Side AT = Side AR = 35.
Therefore, The Perimeter of Triangle AGN = Side AT + Side AR + Side TN + Side EN + Side EG + Side RG
= 35 + 35 + 19 + 19 + 21 + 21
= 150
The perimeter of Triangle AGN is 150
