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3 years ago

Ron is saving money for college. Each month he deposits 10% of his net income plus

Mathematics

1 answer:

Wewaii [24]3 years ago

4 0

Answer:

$242

Step-by-step explanation:

His Gross income a month is $2400.

Now, we are told that his net income, after taxes have been taken out, is 80% of his gross income.

Thus;

Net income a month = 80% × 2400 = $1920

Now, Each month he deposits 10% of his net income plus an additional $50 into a savings account.

This means amount saved each month is = (10% × 1920) + 50 = 192 + 50 = $242

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Pablo goes to the grocery store every 2 days, and Wanda goes to the grocery store every 3 days. If they both went to the grocery

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Answer:

6 more days till they both go to the store at the same day

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3 years ago

Write the expression (x^4)^3 in simplest form.

Alexxandr [17]

Answer:

$x\sqrt{3}$

Step-by-step explanation:

4*3

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Question 9: Please help, what would be the length of the image of the segment GH?

shepuryov [24]

Answer:

The length of the image of the segment GH would be 5 units.

Explanation:

You can use the center of dilation as your origin of coordintes.

Thus, the point H would have coordinates (0,0) and the point G (-1,0).

A dilation multiplies the coordinates by the scale factor. Hence:

H = (0,0) → H' = 5 × (0,0) = (0,0)

G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)

Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.

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3 years ago

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The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

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3 years ago

You have a bag of 12 marbles, 5 red, 3 green, 2 yellow & 2 orange. What is the P( red, then orange) WITHOUT replacing the fi

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Answer:

Total number of marbles = 12

P (1 red & 1 orange) =

$\frac{1 + 1}{12} \\ = \frac{2}{12} \\ = \frac{1}{6} \\ = 0.16$

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3 years ago

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