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3 years ago

How to solve 12^r=13 in solving exponential equation with logarithms

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

8 0

$12^r=13\\
r=\log_{12}13$

laila [671]3 years ago

4 0

12^r = 13

Take the logarithm of each side of the equation:

r log(12) = log(13)

Divide each side by log(12) :

r = log(13) / log(12) = 1.03221,,, (rounded)

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Maria invested $4,000 at 3.5% simple interest. She left the principal invested for 57 months. Robert invested $3,500 at 8.5% sim

Alex_Xolod [135]

Answer:

Maria have $123,75 more total money than Robert at the end of their investments.

Step-by-step explanation:

To calculate the simple interest we should multiply the Initial invest, with the interest without percentage and the time in years.

As the time is in months we have to divide it by 12 so we have the mesure of time in years, then the interest for each of the investments will be:

Maria

Invest = $4,000 Interest = 3.5/100=0.035 Time = 57/12 = 4.75

Simple Interest = 4,000 x 0.035 x 4.75 = $665

Total money at the end of the invest = $4,000 + $665 = $4,665

Robert

Invest = $3,500 Interest = 8.5/100=0.085 Time = 42/12 = 3.5

Simple Interest = 3,500 x 0.085 x 3.5 = $1,041.25

Total money at the end of the invest = $3,500 + $1,041.25 = $4,541.25

Now we have to subtract the total money of Robert from the total money of Maria to know how much money did she got over Robert after their invests

$4,665 - $4,541.25 = $123.75

At the end of the invest, Maria got $123,75 more than Robert

8 0

3 years ago

A high school basketball team notices that attendance at its games changes at a constant rate based on the number of losses the

timurjin [86]

Answer:

The team looses 16 people/audience with each loss.

Step-by-step explanation:

When the team had lost eight games, 295 people attended the next game.

When the team had lost 12 games, 231 people attended the next game.

Slope = $(295-231)/(8-12)$

= $64/-4$ = -16

Therefore, the team looses 16 people/audience with each loss.

And the attendance loss is 16 times as great as the number of games lost/losses.

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3 years ago

Find the perimeter of a square with diagonal of length 12 cm.

Alex Ar [27]

Answer:

33.94 CM

Step-by-step explanation:

To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.

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3 years ago

A rectangular prism with the volume of 10 cubic units is filled with cubes with side links of 1/2 unit how many 1/2 unit kids do

ELEN [110]

Answer 80
Required cubes 10/1/8=80

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4 years ago

At a party it cost $9.50 for refreshments for 10 guests at this rate how much would it cost to have refreshments for 75 guests?

DaniilM [7]

10 guests = $9.50

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Find 1 guest :
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1 guest = $9.50 ÷ 10
1 guest = $0.95

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Find 75 guests :
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75 guests = $0.95 x 75
75 guests = $71.25

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Answer: It will cost $71.25 to have refreshment for 75 guests.
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3 years ago