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svp [43]
3 years ago
11

The table below gives the dimensions of a painting and a scale drawing of the painting

Mathematics
1 answer:
natima [27]3 years ago
6 0
What table , can you please add a table
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What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl
Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

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

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that r = 0.05, and thus:

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

A(t) = A(0)(1+0.05)^t

A(t) = A(0)(1.05)^t

Time for the balance to triple?

This is t for which A(t) = 3A(0). So

A(t) = A(0)(1.05)^t

3A(0) = A(0)(1.05)^t

(1.05)^t = 3

\log{(1.05)^t} = \log{3}

t\log{1.05} = \log{3}

t = \frac{\log{3}}{\log{1.05}}

t =  22.52

It takes 22.52 years for the balance to triple in value.

3 0
3 years ago
Which of the following is not a perfect square?<br> A. 50<br> B. 49<br> C. 121<br> D. 1
luda_lava [24]
50 is not a perfect square because it doesn’t have a square root.

Hope this helped :)
6 0
4 years ago
Read 2 more answers
Which number is greater than -24
Sophie [7]
Hey there!

You are correct! -16 is the right answer! Good job!

Hope this helps!

Always remember, you are a Work Of Art! 
<span>- Nicole :) <3</span>
6 0
3 years ago
Read 2 more answers
Citizens less than 18 years old are not allowed to vote define a variable and write an inequality for the ages of citizens who a
Marrrta [24]

Answer:

x < 18

Step-by-step explanation:

We are given the following information in the question:

"Citizens less than 18 years old are not allowed to vote"

We define a variable x such that x represents the age of citizens.

We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.

Citizens less than 18 are not allowed to vote.

So x should be less than 18.

This can be written as:

x < 18

is the required  inequality for the ages of citizens who are not allowed to vote.

8 0
3 years ago
Compare the functions below f(x)=3^x+2 g(x)=20x+4 h(x)=2x^2+5x+2 select the true statements 1. Over the interval [2,3], the aver
Alex

2^2-4+6 is your answer

6 0
4 years ago
Read 2 more answers
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