what is 30% of $40 is ​

Answer:

I think the answer is 672 please be right

Answer:

P≈28068.32

Step-by-step explanation:

Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

We have given that,

Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.

We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.

[tex]A=Pe^{rt}[/tex]

A=46000, t=13  ,r=0.038

[tex]Pe^{0.039\left(13\right)}=46000[/tex]

[tex]Pe^{0.039\left(13\right)}=46000[/tex]

[tex]\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}[/tex]

[tex]P=\frac{46000}{e^{0.507}}[/tex]

[tex]\quad P=27705.78944[/tex]

Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

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Answer:

OK I will dot this after getting 10 followers

Answer:

deez

Step-by-step explanation:

Answer:

Step-by-step explanation:

L-6=W+3

L=W+9

LW-(L-6)(W+3)=27, using L from above makes this

W(W+9)-(W+9-6)(W+3)=27

W^2+9W-(W+3)(W+3)=27

W^2+9W-W^2-6W-9=27

3W-9=27

3W=36

W=12, since L=W+9

L=12+9=21

A=LW

A=21(12)

A=252 cm^2

The area of the rectangle is 252 cm^2.

Since

If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm.

So it can be like

L-6=W+3

L=W+9

Now

LW-(L-6)(W+3)=27

So,

W(W+9)-(W+9-6)(W+3)=27

W^2+9W-(W+3)(W+3)=27

W^2+9W-W^2-6W-9=27

3W-9=27

3W=36

Also,

W=12, since L=W+9

L=12+9=21

So,

A=LW

A=21(12)

A=252 cm^2

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Answer:

2.7

Step-by-step explanation:

322/7=46

46*125=2.71739

round off

2.7

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, A triangle has sides with lengths 8, 15, and 17.

1) Checking for Pythagorean triples;

17² = 289

8²+15² = 225+64 = 289 = 17²

∴ 17² = 8²+15²

Since, they are following the Pythagoras theorem so, they are  Pythagorean triples.

2) Calculating the acute angles:-  [please refer to attached figure]

Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,

sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)

∠ C = sin⁻¹(15/17)

∠ C = 61.92°

∠ A = 90°-61.92°

∠ A = 28.08°

Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

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Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

Answer:

74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

Answer:

Step-by-step explanation:

Equal installments can be found by

I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)

I=4300((1.00958-1)/(1.00958^60-1)+0.00958)

I=$94.56

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

the y axis

Answer:

Step-by-step explanation:

Renters do not have the maintenance costs associated with home ownership. Therefore, option B is the correct answer.

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

Both renting and buying have their financial advantages, and owning a home isn’t right for everyone.

Unlike homeowners, renters have no maintenance costs or repair bills and they don't have to pay property taxes.

Amenities that are generally free for renters aren't for homeowners, who have to pay for installation and maintenance.

Renters do not have the maintenance costs associated with home ownership.

Home owners have to pay for all costs & repairs needed.

Therefore, option B is the correct answer.

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Answer:

[tex]M = 1.75[/tex] --- Movies

[tex]V = 5.5[/tex] --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

[tex]2M + 3V = 20[/tex]

The next month, the expression is:

[tex]6M + 5V = 38[/tex]

Required

Find M and V

We have:

[tex]2M + 3V = 20[/tex] --- (1)

[tex]6M + 5V = 38[/tex] --- (2)

Multiply (1) by 3.

3 * [tex]2M + 3V = 20[/tex]

[tex]6M + 9V = 60[/tex] --- (3)

Subtract (1) from (3)

[tex]6M + 9V = 60[/tex]

- [tex]6M + 5V = 38[/tex]

-------------------------

[tex]6M - 6M + 9V - 5V = 60 -38[/tex]

[tex]4V = 22[/tex]

Divide by 4

[tex]V = 5.5[/tex]

Substitute 5.5 for V in (1)

[tex]2M + 3V = 20[/tex]

[tex]2M + 3 * 5,5 = 20[/tex]

[tex]2M + 16.5= 20[/tex]

Subtract 16.5 from both sides

[tex]2M = 3.5[/tex]

Divide by 2

[tex]M = 1.75[/tex]

Answer:

Hope this helps! If I can have brainliest I'm trying to rank up.

Step-by-step explanation:

3.4 is 100 times more than 0.034.

0.034 is 1/100 of 3.4.

We look at the statements about the values of 0.034 and 3.40 are true.

0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .

So, 3.4 is 100 times more than 0.034.

3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .

So, 0.034 is 1/100 of 3.4

Answer:

50°

Step-by-step explanation:

Given that a triangle measures 180°.

∠U =40°

∠W=90°

Sum:130°

180°-130°=50°

Answer:

angle bisectors and opposite side perpendiculars

Step-by-step explanation:

Answer:

3 busses and 5 vans

Step-by-step explanation:

3 x 51 = 153

193 - 153 = 40

40 / 8 = 5

Answer:

Step-by-step explanation:

h and c are the numbers of hamburgers and cheeseburgers, respectively.

“a combined total of 486 hamburgers and cheeseburgers”

h + c = 486

“64 fewer cheeseburgers sold than hamburgers”

c = h - 64

Substitution:

h + (h-64) = 486

2h = 550

h = 275

275 hamburgers were sold

Answer:

your answer will be C. The function has an inverse because it passes the horizontal line test.

bye have a nice day ^_^

C. The function has an inverse because it passes the horizontal line test.

A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.

The relation f from a domain set to co-domain set is called function.

Example : f = {(x, y) | for all x∈X & y∈Y}

A relation becomes function when every element of domain has one and only one image in co-domain.

If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]

Inverse function of a function always undoes the operations of the function f.

f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.

From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.

Hence the option C is the correct one.

C. The function has an inverse because it passes the horizontal line test.

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Answer:

222 ft

Step-by-step explanation:

add 15 ft to each side of the length and width

L = 28 + 30 = 58

W = 23 + 30 = 53

perimeter = 2(L + W) = 2(58 + 53) = 222 ft

Answer:

222 ft

Step-by-step explanation:

The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing

Answer:

C = dπ

37.68 = d(3.14)

d = 12 inches

2r = d

2r = 12

radius = 6 inches

Answer:

4x(5)+1×(3.20)= 20+3.20=23.20

Step-by-step explanation:

The cost of 7kg of brass is £32.48.

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

According  to the given question.

Cost of one kg of copper = £5

Cost of one kg of zinc = £3.20

Also, copper and zinc are mixed in the ratio 4:1.

Let the quantity of copper be 4x and the quantity of  zinc 1x.

Weight of brass = 7kg

⇒ 4x + 1x = 7

⇒ 5x = 7

⇒ x = [tex]\frac{7}{5}[/tex]

⇒ x = 1.4

Weight of copper, 4x = (1.4)(4) = 5.6kg

Weight of zinc, 1x = (1) ×(1.4)  = 1.4kg

Therefore,

The cost of 7kg of brass

= (5.6)×(£5) + (1.4)(£3.20)

= 28 + 4.48

= £ 32.48

Therefore, the cost of 7kg of brass is £32.48

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Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

Answer:

the measure of what?????

Answer:

32.5 feet

Step-by-step explanation:

This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).

With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.

tan 18 = [tex]\frac{x}{100}[/tex]

Multiply each side by 100:

(100) tan 18 = x

Simplify and round to the nearest tenth:

32.49 = x

32.5 = x

So, the height of the tower is approximately 32.5 feet

Answer:

Volume of cuboid = 2000 m³

Step-by-step explanation:

Given the following data;

Base area = 500 m²

Height = 4m

To find the volume of a cuboid;

The volume of a cuboid is given by the formula;

Volume of cuboid = length * breadth * height

But remember, base area = length * breadth

Therefore, the volume of the cuboid becomes;

Volume of cuboid = base area * height

Substituting into the equation, we have;

Volume of cuboid = 500 * 4

Volume of cuboid = 2000 m³

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

Answer:

10.25%

Step-by-step explanation:

imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%

Hope this is correct :) I'm rly not sure now

Answer:

10%

Step-by-step explanation: