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2 years ago

Withdrawing $10 every week from an outstanding balance of $400

Mathematics

2 answers:

den301095 [7]2 years ago

8 0

-10w - 400 = o

w= weeks
o = new outstanding balance

Misha Larkins [42]2 years ago

8 0

Answer:

$400-10w$ .

Step-by-step explanation:

Let w represent the number of weeks.

We are supposed to write an expression for the given word phrase.

Since the with-drawl amount is $10 per week, so amount withdrawn in w weeks would be $10w$ .

The amount left after w weeks would be $400 minus $10w$ .

Therefore, our required expression would be $400-10w$ .

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78+24-11+56+23-117+1

kakasveta [241]

78+24+11+56+23+117+1 =310

4 0

1 year ago

In this problem, the ratios are inversely proportional. Find the missing value. If R1 = 6, R2 = 8, and I1 = 12, what is the valu

Drupady [299]

Answer:

$I_2=9$

Step-by-step explanation:

We have been told that the ratios are inversely proportional in our given problem. We are asked to find the missing value.

We know that two inversely proportional quantities are in form $y=\frac{k}{x}$ , where, y is inversely proportional to x and k is the constant of proportionality.

Let us find constant of proportionality using $R_1 = 6$ and $I_1 = 12$ in above equation.

$6=\frac{k}{12}$

$6*12=\frac{k}{12}*12$

$72=k$

Now, we will use $72=k$ and $R_2 = 8$ in our equation to find $I_2$ as:

$8=\frac{72}{I_2}$

$I_2=\frac{72}{8}$

$I_2=9$

Therefore, the value of $I_2$ is 9.

5 0

2 years ago

Find the circumference of the sphere whose volume is 1375/21 cu. cm

Anit [1.1K]

Answer:

The circumference of the sphere is $C=5\pi\ cm$ or $C=15.7\ cm$

Step-by-step explanation:

step 1

Find the radius of the sphere

we know that the volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=\frac{1,375}{21}\ cm^{3}$

substitute and solve for r

$\frac{1,375}{21}=\frac{4}{3}\pi r^{3}$

assume

$\pi =3.14$

$r^{3}=\frac{1,375}{21}(\frac{3}{4*3.14})$

$r=2.5\ cm$

step 2

Find the circumference

The circumference is equal to

$C=2\pi r$

we have

$r=2.5\ cm$

substitute

$C=2\pi(2.5)$

$C=5\pi\ cm$

assume

$\pi =3.14$

$C=5(3.14)=15.7\ cm$

8 0

2 years ago

The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi

baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = $z_c=1.96$

Then by Central Limit Theorem , the required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)$

Simply , we get

$n=2184.91\approx2185$ [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0

1 year ago

A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular a

Nady [450]

We know the triangle is an isosceles triangle. So, we use the Pythagorean Theorem.

a^2+b^2=c^2

The c would be 22, because it's the longest edge. Now find a or b. They are the same, that is how you find the two sides of the triangle for part A.

To find the area of the triangle, the forumla is a=hb/2

Plug in the numbers for that formula and the answer would be found for part B.

I hope I helped.

7 0

2 years ago