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2 years ago

2. Your cousin is deciding whether to buy a car now or to wait until he has more

Mathematics

1 answer:

Delicious77 [7]2 years ago

8 0

Answer:

option 2

Step-by-step explanation:

I'm using the assumption that he will have to pay for 4 years (as stated in the problem). You will need the length of time he would be making payments (in months) or the total cost of the vehicle to solve this problem.

4 years = 12 x 4 = 48 months

Option 1: 500 + 195 (48) = 500 + 9360 = 9,860

Option 2: 4,000 + 55 (48 - 6) = 4,000 + 55 (42) = 4,000 + 2310 = 6310

If he can wait six months, it will save him about $3,500 to go with Option 2.

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Can I please have help with question 2) a and b

Ulleksa [173]

Answer:

$\frac{10\sqrt{6} }{3}$ and $\frac{11\sqrt{3} }{3}$

Step-by-step explanation:

(a)

A = $\frac{1}{2}$ × 4 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= 2 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= $\frac{10\sqrt{2} }{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

= $\frac{10\sqrt{6} }{3}$ units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4 $\sqrt{2}$ )² + ( $\frac{5}{\sqrt{3} }$ )²

= 32 + $\frac{25}{3}$

= $\frac{96}{3}$ + $\frac{25}{3}$

= $\frac{121}{3}$ ( take the square root of both sides )

h = $\sqrt{\frac{121}{3} }$ = $\frac{11}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

h = $\frac{11\sqrt{3} }{3}$

7 0

2 years ago

Find the product. 2 (-5)

expeople1 [14]

Answer:

-10

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

66 bats were sold. Some were sold for $42 each the rest were sold for $30 each. The total sales were$2,460. Write and solve a sy

Phoenix [80]

Answer:

40 bats sold for $42

26 bats sold for $30

Step-by-step explanation:

x + y = 66

42x + 30y = 2460

solve first equation for y and plug in for y in second equation

42x + 30 (66 - x) = 2460

x = 40

y = 66- 40 = 26

5 0

3 years ago

Please help me with this problem

eimsori [14]

Find the equation of the first line using the two given points: (1,-1) (-1,-5)

Slope = change in Y over change in x:

Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2

Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)

Simplify to get y = 2x-3

Now a perpendicular line has a opposite reciprocal slope.

The perpendicular line would be y = -1/2x - 3

You are told the y intercept is -4 units greater, so add -4 to -3 to get -7

The answer would be A. y = -1/2x-7

6 0

2 years ago

7 + (10 − 4)to the power 2 ➗ 4 ✖️1 over 2 to the power of 3

iragen [17]

Answer:

Step-by-step explanation:

=> $7+(10-4)^2 /4 (\frac{1}{2} )^3$

=> $7+(6)^2 / 4(\frac{1}{8})$

=> $7+36 / \frac{1}{2}$

=> $43 * 2$

=> 86

8 0

2 years ago