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Aleonysh [2.5K]
3 years ago
13

Find the total amount owed, to the nearest cent, for a simple interest loan with a principal of $2950, an interest rate of 7.4%

and a time period of 1.5 years. Show​
Mathematics
1 answer:
N76 [4]3 years ago
3 0

Answer:

A = $ 3,283.44

A = P + I where

P (principal) = $ 2,950.00

I (interest) = $ 333.44

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

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A manufacturer wants to double the volume of a 3 in.×2 in.×6 in. 3 i n . × 2 i n . × 6 i n . box, while using as little extra ca
viktelen [127]

Answer: 2 inch dimension will give smallest increase.


Step-by-step explanation:

Length = 3 in

width = 2 in

height = 6 in

Extra cardboard  means to find surface area

on doubling the length

length = 6 In

width = 2 In

Height = 6In

Surface area for the above dimensions = 2 [ 6x2+2x6+6x6] = 120 sq in

On doubling the width

length = 3 in

width = 4 in

Height = 6 inch

Surface area for the above dimensions= 2 [ 3x4+4x6+6x3] = 2[54] = 108 sq inches

On doubling height

Length =3 in

width = 2 in

Height = 12 in

Surface area for above dimensions = 2 [ 3x2+2x12+12x3] = 2[6+24+36] = 132 sq inch

On doubling width surface area is minimum.

6 0
3 years ago
How many solutions does the system have?<br> y = -7x + 8<br><br> y = -7x - 8<br> Choose 1 answer:
Verdich [7]

Answer:

No solutions

Step-by-step explanation:

If we try to solve this system for y at x = 1, we get an impossible situation:

y=-7(1)+8=-7+8=1\\y=-7(1)-8=-7-8=-15\\1=-15

Clearly, 1 ≠ -15, and we'll see that any value of x that we pick gives us two contradictory values for y, so this system has no solutions.

7 0
2 years ago
I will mark the brainiest!
exis [7]

Answer:

B: 375 ft^2

Step-by-step explanation:

20 x 15 + 10 x 15/2 = 375

7 0
3 years ago
Read 2 more answers
The sum of the angle measures
luda_lava [24]

Answer:

(x-2 )= 18

(4xt1) = 81

i got it because x=20 mark branliest if you can thanks

7 0
3 years ago
Read 2 more answers
Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading c
EleoNora [17]

Answer:

The correct option is 2. The given function is a polynomial of degree 4 with a leading coefficient of 36.

Step-by-step explanation:

A polynomial function is defined as

P=a_0x^n+a_1x^{n-1}+....+a_{n-1}x+a_n

The given function is

f(x)=(2x+3)^2(3x+5)^2

Using perfect square trinomial property.

f(x)=(4x^2+12x+9)(9x^2+30x+25)        [\because (a+b)^2=a^2+2ab+b^2]

Using distributive property, we get

f(x)=4x^2(9x^2+30x+25)+12x(9x^2+30x+25)+9(9x^2+30x+25)

f(x)=36x^4+120x^3+100x^2+108x^3+360x^2+300x+81x^2+270x+225

f(x)=36x^4+228x^3+541x^2+570x+225

The given function is a polynomial of degree 4 with a leading coefficient of 36.

Therefore the correct option is 2.

5 0
3 years ago
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