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4 years ago

Two numbers have a sum of 33. The same two numbers have a difference of 13. What are the two numbers?

Mathematics

1 answer:

padilas [110]4 years ago

3 0

Answer:

x = 23

y = 10

Step-by-step explanation:

Let the two numbers be x and y where x>y

x + y = 33

<u>x - y = 13</u> Add

2x = 46 Divide by 2

2x/2=46/2 Do the division

x = 23

=============

Solve for y

x + y = 33 Substitute for x

23 + y = 33 Subtract 23 from both sides.

23-23+y = 33 - 23

y = 10

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How long will it take to earn $1800 in interest if $6000 is invested at a 6% annual interest rate?

Evgesh-ka [11]

Answer:

It will take 5 years.

Step-by-step explanation:

Let's find how long it will take, but first let's understand the equation.

For simple interest, we use the equation:

T=(1/R)*(((A+B)/B)-1) where,

A= interest amount

B=invested money

R=interest rate (in decimal form)

T=time

Because we want to earn $1800 in interest, then A=1800.

Because we invested $6000, then B=6000.

Because we are investing under an interest rate of 6%, then R=0.06.

'How long will it take' means that T= not given, but its value is in 'years', since an annual rate was given.

Using the equation for simple interest we write:

T=(1/0.06)*(((1800+6000)/6000)-1), the solution is then:

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3 years ago

The formula for the volume of a pyramid is

Pepsi [2]

Answer:

h = 3v/b

Step-by-step explanation:

Here, we want to select the equation that solves for h

What this simply means is that we should make h the subject of the formula

Thus, we have 3 * v = bh

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3 years ago

5/2 in the simplest form

DENIUS [597]

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3 years ago

Read 2 more answers

You want to estimate the population proportion of pine trees over 90 years old in a forest near where you live. You need a margi

iragen [17]

Answer:

Step-by-step explanation:

Minimum sample size for estimating the population proportion of pine trees over 90 years old in a forest near where you live with <em>margin of error</em> no more than 2% can be calculated using the equation:

n≥ p×(1-p) × $(\frac{z}{ME} )^2$ where

n is the sample size

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z is the corresponding z-score for the confidence level

ME is the margin of error in the estimation (2% or 0.02)

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3 years ago

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=42(

alex41 [277]

The revenue when the number of units is 18 is -135

<h3>How to determine the revenue?</h3>

The given parameters are:

Revenue function

R(x) = x *P(x)

Where

P(x) = 42/(4) − x

Substitute P(x) = 42/(4) − x in the equation R(x) = x *P(x)

R(x) = x * [42/(4) − x]

The number of units sold is 18.

So, we have:

R(18) = 18 * [42/(4) − 18]

Evaluate the expression

R(18) = -135

Hence, the revenue when the number of units is 18 is -135

Read more about revenue functions at:

brainly.com/question/25623677

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2 years ago