MATHEMATICS MIDDLE SCHOOL

You have $6000 to invest in two stock funds. The first fund pays 5% annual interest and the second account pays 9% annual interest. If after a year you have made $380 in interest, how much money did you invest in each account

Answers

Answer 1

Answer:

Answer:

First fund: $4000

second account: $2000

Step-by-step explanation:

invest x for first fund (A) and y for second fund (B)

interest for A: x * 0.05

interest for B: y * 0.09

0.05 x + 0.09 y = 380 ....(1)

x + y = 6000 ..... (2)

y = 6000 - x ....substitute y in (1)

0.05 x + 0.09 (6000 - x) = 380

0.05x + 540 - 0.09x = 380

0.04 x = 160

x = 4000

y = 6000 -4000 = 2000

check: 4000 x 0.05 + 2000 x 0.09 = 200 + 180 = 380

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Simplest form of 17/68

Terms written in the form a/b are fractions. For example 2/3. If you see 3 1/2 it should be 3 and 1/2

Answers

Answer:

7/2??

Step-by-step explanation:

Im not sure what you mean but 3 1/2 is the same thing as 7/2

How would you classify the decimal form of 11/ 3 ?

Answers

Answer:

Rational, non terminating, repeating

Step-by-step explanation:

$11/3$ equals to $3(2)/(3)$

It is so called repeated or recurring decimal

STEP· 1 Divide numerator $(2)$ by the denominator $(3)$

2÷3 $=$ 0·66666666

STEP· 2 Add this value to the integer part

3 $+$ 0·66666666 $=$ 3·6666666

Also we will get in approximated value

$3(3)/(2)$ $=$ Rounded to 1 digit figure 3·6

$3(3)/(2)$ $=$ Rounded to 2 digit figure 3·66

$3(3)/(2)$ $=$ Rounded to 3 digit figure 3·666

$3(3)/(2)$ $=$ Rounded to 4 digit figure 3·6666

AND SO ON

A cube has a volume of 1000 cubic feet. What us the edge length of the cube?

Answers

The volume of a cube is given by;

(One length side of the cube)³ - remember all sides of a cube are the same, just like how both sides of a square are the same. This is essentially the area of the square at the base, multiplied by the height of the cube.

Hence why we that that, for example 4³, is "4 cubed"

So we know that;

volume = (side length)³

Alternatively we could say that;

Side length = ∛volume

(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)

Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.

We know that the volume is 1000 cubic feet, so;

Side length = ∛1000

∛1000 = 10

So one side length is 10 feet.

The scale on a drawing is 3 in.:4 ft. The actual length of the object is 24 feet. How many inches is the length of the object on the drawing?

Answers

18 inches would be the answer

Mr. Santos is carpeting his living room. The room measures 21 feet by 15 feet. The carpeting costs $9 per square foot. How much carpeting will he need (in square feet), and how much will it cost?