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svlad2 [7]
3 years ago
8

Matthew opens a store credit card when he purchases a new sound system. The interest rate is 22.45%. He charges $4,120 to the ca

rd, and can pay $1,450 per month. What will the total cost of his purchase be?
Mathematics
2 answers:
Nookie1986 [14]3 years ago
6 0

Let

C----------------- > charges for the purchases to the credit card

<span>r------------------- > the interest rate    </span>

X------------------ > total cost of the purchase

 we know that

C=4120

r= 22.45%=0.2245

X=C*(1+r)

 substituting the values ​​in the formula

X=(4120)*(1+0.2245)= (4120)*(1.2245)=5044.94

 the answer is $5044.94


Leona [35]3 years ago
3 0

The answer is 4,273.70

Just took the quiz.. Other answer is wrong

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PLEASE HELP
Leto [7]

Answer:

DA = 285.7 m

Step-by-step explanation:

First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:

AB^2 = BC^2 + AC^2

AB^2 = 300^2 + 400^2

AB^2 = 25000

AB = 500 m

We can find the angle ABC with the tangent relation:

tangent(ABC) = 400/300 = 4/3

ABC = 53.13°

From triangle ABC, we have:

ABC + BCA + CAB = 180°

53.13 + 90 + CAB = 180

CAB = 36.87°

From triangle DAC, we have:

DAC + ACD + CDA = 180

36.87 + 45 + CDA = 180

CDA = 98.13°

Now to find the side of DA, we can use law of sines in triangle DAC:

DA/sin(DCA) = AC/sin(CDA)

DA/sin(45) = 400/sin(98.13)

DA = 400 * 0.7071 / 0.9899 = 285.7258 m

Rounding to nearest tenth, we have DA = 285.7 m

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3 years ago
(3x+8) (4x+10) what is the length
rodikova [14]
12x^2+62x+80
Do you want a step by step?
4 0
3 years ago
The estimated difference of 3209 and 1893, when rounded off to the nearest ten is
almond37 [142]

Answer:

= (3209) - (1893) \\  = 1.32 \times  {10}^{3}  \\  = 1320

\small{ \star{ \underline{ \blue{becker}}}}

8 0
2 years ago
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wlad13 [49]

Answer:

(x+y+z)^2

Step-by-step explanation:

x^2+2x(y+2)+(y+2)^2

there is a factoring rule where

a^2+2ab+b^2=(a+b)^2

So,

a = x

b = y + z

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3 years ago
27 divided by 55 using long division (please show work) HELP
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27 divided by 55= 0.490909 repeating
Step by Step Explanation:
picture below

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