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4 years ago

Show how you got your answer or explain it

Mathematics

2 answers:

denpristay [2]4 years ago

7 0

For simple interest, the amount of interest (I) is calculated from the principal (P), the annual rate (r) and the number of years (t) using the formula

... I = P·r·t

Fill in the given numbers, and solve for t.

... 84 = 600·0.07·t . . . of course, you know that 7% = 7/100 = 0.07

... 84 = 42t . . . . . . . . simplify

... 84/42 = t = 2 . . . . divide by the coefficient of t

The time period is 2 years.

oksian1 [2.3K]4 years ago

6 0

Total = Principal × ( 1 + Rate ) ^ years

(Solved by taking logarithms)

Years = log (total / principal) / (log (1 + rate))

Years = log (684 / 600) / (log 1.07)

Years = log (1.14) / (log (1.07)

Years = 0.0569048513364726 / 0.0293837776852097

Years = 1.9366077414

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5x-1/5=7/3 <br> Find The LCD That would eliminate the fractions

photoshop1234 [79]

Answer:

$x=\frac{7}{15}$

Step-by-step explanation:

$5x-\frac{1}{5} =\frac{7}{3}$

$5x - \frac{3}{15} = \frac{35}{15}$

$5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}$

$5x=\frac{35}{15}$

$\frac{5x}{5} } =\frac{\frac{35}{15}}{5}$

$x=\frac{7}{15}$

7 0

3 years ago

What is the answer to 5t-26=18t

AlladinOne [14]

Answer:

t = -2

Step-by-step explanation:

5t - 26 = 18t

Add 26 to both sides:

5t - 26 + 26 = 18t + 26

Simplify:

5t = 18t + 26

Subtract 18t from both sides:

5t - 18t = 18t + 26 - 18t

Simplify:

-13t = 26

Divide both sides by -13:

-13t/-13 = 26/-13

Therefore:

t = -2

I hope this helps!

6 0

3 years ago

Read 2 more answers

A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum

Ivan

Answer:

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solution

$y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solving the differential equation

$\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}$

Initial conditions:

$y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

At what time the rumor reaches 80%?

$y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48$

The rumor reaches 80% at 8.48 days.

8 0

3 years ago

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o

wlad13 [49]

Answer:

Step-by-step explanation:

Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x: 39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0

4 years ago

Use prime factorization to find the least common multiple of 54 and 36

irinina [24]

Answer: 108

Explanation:

GCF(36,54) = 18
LCM(36,54) = ( 36 × 54) / 18
LCM(36,54) = 1944 / 18
LCM(36,54) = 108

6 0

3 years ago