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valina [46]
3 years ago
11

P=m/1+rt solve for t

Mathematics
2 answers:
blagie [28]3 years ago
5 0
I assume you mean:

P=m/(1+rt)  multiply both sides by (1+rt)

P(1+rt)=m  perform indicated multiplication on left side

P+Prt=m  subtract P from both sides

Prt=m-P  divide both sides by Pr

t=(m-P)/(Pr)
WITCHER [35]3 years ago
5 0
Hello there! Thank you for asking your question here at Brainly. I will be assisting you with answering this question, and will teach you how to handle it on your own in the future.

(1) First, let's take a look at what we're dealing with.

We have an equation; 
P = m/1 + rt, solve for t.

(2) Understand the problem, and know how to handle it.

Since we're solving for t, we need to isolate t by performing the opposite order of operations on the side that t is on.

(3) Take action once procedures (1) and (2) are understood/done.

P = m/1 + rt
We can get rid of the "1" in the equation, as multiplying anything by 1 does nothing.
Now we have:
P = m + rt

Now, we need to subtract m from both sides to isolate rt.

P - m = rt
Now to solve for t and the problem overall, we need to divide both sides by r.
\frac{P - m}{r} = t

Your final solution for t is:

t = \frac{P - m}{r}

Remember your 3 steps:
(1) Examine what you're dealing with.
(2) Understand the problem that's been given to you, and how to handle it.
(3) Apply the proper steps to come to your solution.

I hope this helps!
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The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi
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The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.

<h3>Given information-</h3>

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,

c=3.5b

The quantity of the bread depends on the quantity of the loaves.

<h3>Dependent variable</h3>

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.

Lets check which table satisfy the above equation.

Table 1-

In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.

Table 2-

In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,

c=3.5\times1.5

c=4.5

The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.

Table 3-

Put the values of the loaves in the given equation one by one,

When the value of loaves is 0 then the value of the bread is,

c=3.5\times0=0

When the value of loaves is 3 then the value of the bread is,

c=3.5\times3=10.5

When the value of loaves is 6 then the value of the bread is,

c=3.5\times=21

When the value of loaves is 9 then the value of the bread is,

c=3.5\times9=31.5

All the values of the table 3 satisfies the given equation.

Hence, the values given in the table 3 matches the equation and includes the viable solutions.

Learn more about the dependent variables here;

brainly.com/question/967776

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The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th
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Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

n=\frac{z^{2}\sigma^{2}}{e^{2}}

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, 1-\alpha=0.95 \Rightarrow \alpha=0.05.

Therefore we look for the critical value z_{\alpha/2}=1.96.

Then we calculate the variance:

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And we have that:

e=2 \Rightarrow e^{2}=4

<u>Now</u> we replace in the formula with the values we've just obtained:

n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

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