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jeka57 [31]
3 years ago
13

Mr. McGregor has discovered that a large dog can destroy his entire garden in 2 hours and that a small boy can do the same job i

n 1 hour. How long would it take the large dog and the small boy working together to destroy Mr McGregor's garden?
Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer: -1

Step-by-step explanation:

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Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments
Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

A(t) = A(0)(1+r)^t

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

A(t) = A(0)(1+r)^t

A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\

It will reach $450 after t years, for which A(t) = 450, hence:

A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9

It will take about 2.9 years for Emma's balance to reach $450

Learn more about logarithm here

brainly.com/question/247340

#SPJ4 .

3 0
2 years ago
If you were to fill a graduated cylinder to 150mL, then drop a metal object in that raises the water level to 250mL, what is the
fiasKO [112]

Answer:

100 mL

Step-by-step explanation:

Subtract 150 from 250 to get the answer, hope this helped!

4 0
3 years ago
Kathy's car runs almost 21 miles on a gallon of gas. If Kathy needs to travel 250
mr Goodwill [35]

Answer:

at least 8 gallons

Step-by-step explanation:

8 0
4 years ago
-19x-17 = -93 <br> Also when you solve it has to be with the addition property of equality
Mama L [17]

Answer:

Addition property of equality formula

Lesson Summary

We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.

Step-by-step explanation:

7 0
3 years ago
Given f(x)= -3x² + 9x,what is the value of f(-2)
In-s [12.5K]
Answer:
f(-2) = -30

General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS

Step-by-step explanation:
Step 1: Define
f(x) = -3x^2 + 9x
f(-2) is x = -2

Step 2: Solve
1. Substitute: f(-2) = -3(-2)^2 + 9(-2)
2. Evaluate: f(-2) = -3(4) + 9(-2)
3. Multiply: f(-2) = -12 - 18
4. Add: f(-2) = -30
8 0
3 years ago
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