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2 years ago

What is 4 1/3 times 18

Mathematics

2 answers:

Ghella [55]2 years ago

6 0

Well, 4 1/3 is equal to 13/3

So you have 13/3 times 18/1,
Which equals 234/3, or 78

kaheart [24]2 years ago

5 0

Change 4 1/3 to improper fraction: 13/3

13/3 * 18/1 = 234/3

234/3 = 78.

Hope this helped☺☺♥♥

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Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0

3 years ago

Read 2 more answers

The following function represents the value of a house, in dollars, after x years: f(x) = 242,000(1.04)x What does 1.04 represen

zmey [24]

The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.

As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.

As according to the function f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.

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3 years ago

if angle RZT=110, angle RZS=3s, and angle TZS=8s, what are angle RZS and angle TZS?

skelet666 [1.2K]

8s-3s=5s
5s=110
Divide both sides by 5 => s=22
RZS = 3s = 3(22) = 66
TZS= 8s = 8(22) = 176

7 0

2 years ago

Which is equivalent to (2^-3)^4 1/2^12 2 -2^12 1/2^7

sleet_krkn [62]

Answer:

The answer is First option

1/2^12 .

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Step-by-step explanation:

Given:

(2^-3)^4

i.e

$(2^{-3} )^{4}$

To Find:

$(2^{-3} )^{4}=?$

Solution:

Law of Indices

$(x^{a}) ^{b} =x^{a\times b}\\and\\x^{-1}=\frac{1}{x}$

Using the above Property we get

∴ $(2^{-3} )^{4}=2^{-3\times 4} \\\\ (2^{-3} )^{4}=2^{-12} \\\\(2^{-3} )^{4}= \frac{1}{2^{12} }$

The answer is First option

1/2^12 .

$(2^{-3} )^{4}=\frac{1}{2^{12} }$

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3 years ago

An electric pole is 10m high if it's shadow is 10×√3 in length find the elevation ofthe sum

lianna [129]

First, Look at the attached picture as a reference.

Now, using Pythagoras theorem,

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Now, lets find the elevation of the sun.

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∴ The elevation of the sun is 30°

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3 years ago