what is the correct answer​

Answer:

Amount of simple interest in three year = 750

Step-by-step explanation:

Given:

Amount invested = 5,000

Number of year = 3 year

Rate of interest = 5% Annually

Find:

Amount of simple interest in three year

Computation:

Simple interest = (P){R)(T)

Amount of simple interest in three year = (5,000)(3)(5%)

Amount of simple interest in three year = (5,000)(3)(0.05)

Amount of simple interest in three year = (5,000)(0.15)

Amount of simple interest in three year = 750

Answer:

15 girls

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]  has 7 per "unit group" 35/7 = 5

so the ratio would be [tex]\frac{20}{15}[/tex]

the question states ratio is [tex]\frac{boys}{girls}[/tex]

thus 20 boys , and 15 girls

Answer:

Pythagoras Theorem: It is a basic relation in Euclidean geometry among the sides of a right-angled triangle. Pythagoras Theorem is commonly used to find the length of an unknown side in a right-angled triangle. It describes the interrelationship between the base, perpendicular and hypotenuse of a right-angled triangle. The converse of Pythagoras Theorem is used to check whether a triangle is a right-angled triangle or not

Step-by-step explanation:

Statement of Pythagoras Theorem

The Pythagoras Theorem states that in a right-angled triangle the sum of square of the base and square of the perpendicular is equal to the square of the hypotenuse.

Pythagorean theorem

In the right angled triangle there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem. this theorem States the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the remaining two sides.

Answer:

40 L

Step-by-step explanation:

20% empty is the same as 80%full

.8f = .2f + 24

subtract .2f from both sides

.6f = 24

divide both sides by .6

f = 40

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse

Answer:

The length of the third side is approximately 193.14 cm

Step-by-step explanation:

The given dimensions of the sides of triangle ΔVWX are;

X = 160 cm

V = 150 cm

The measure of the included angle, m∠W = 77°

By cosine rule, we have;

w² = v² + x² - 2·v·x·cos(W)

∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35

∴ The length of the third side, w = √37,302.35 ≈ 193.14

The length of the third side, w ≈ 193.14 cm

Answer:

40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28

Step-by-step explanation:

multiple the price by 1.40

hopefully this helped :)

Answer:

$28

Step-by-step explanation:

We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.

40/100 = 0.4.

Next, we multiply 20 by 0.4 to find the extra price:

20 * 0.4 = 8

So, the answer is 20 + 8 = $28

We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

The Total Value of Expenses is $14,350

Step-by-step explanation:

AMOUNT

Depreciation Expense $ 2,000

Wage Expense $ 10,950

Interest Expense $ 500

Supplies Expense $ 500

Utility Expense $ 400

TOTAL $ 14,350

Answer:

(-8.6)0

= 0

explanation:

========================================================

Explanation:

C = circumference

C = pi*d

C = 3.14*19

C = 59.66

The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.

Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x

59.66x = 6000

x = 6000/59.66

x = 100.569896077774

x = 101

After 101 revolutions, Jason has traveled about 500 ft.

Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.

And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.

Answer:

yes...

Step-by-step explanation:

Answer:

x=10,6

Step-by-step explanation:

Answer:

The last digit is 2

Step-by-step explanation:

I just plugged in different digits as the end of 41875 and divided by 18.

Entered in 418750. Got a decimal.

Entered in 418751 and divided by 18. Got a decimal.

Entered in 418752 and divided by 18. Got 23,264.

Entered in 418753 and divided by 18. Got a decimal.

Entered in 418754 and divided by 18, got a decimal.

418755, decimal

418756, decimal

418757, decimal

418758, decimal

418759, decimal

Answer:

here u go

Step-by-step explanation:

binomial

Answer:

A. 7 + 4i

Step-by-step explanation:

Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i

Writing as a complex number, we find the square root of -16 + 49

Hence:

√ -16 + 49 = √-16 + √49

= 4i + 7

Rearranging

= 7 + 4i

Therefore, the correct option is A. 7 + 4i

Answer:

Red: 13/41

Yellow: 19/41

Blue: 9/41

Answer:

x=7.8

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/12

0.65*12=x

7.8=x

Answer:

x=7.8

Step-by-step explanation:

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/12

0.65*12=x

7.8=x

Answer:

0

Step-by-step explanation:

3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0

Answer:

7/12

Step-by-step explanation:

12 is they're denominators GCF so we we multiply 1/4 by 3 to get 3/12 and 1/3 by 4 to get 4/12.

3/12+4/12=7/12

Hope this helps! :)

Answer:

njj

Step-by-step explanation:

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Answer:

mkana

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE[/tex]

By vertical angles:

[tex]\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB[/tex]

Hence, by substitution:

[tex]\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB[/tex]

Then by Angle-Angle Similarity:

[tex]\Delta ABC \sim \Delta GEF[/tex]

Answer:

[tex]y=\sqrt{x-5}[/tex]

Step-by-step explanation:

Answer:

The answer is [tex]y=\sqrt{x-5}[/tex].

Step-by-step explanation:

To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].

Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,

To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].

To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].  

Answer:

-3

Step-by-step explanation:

This is a quadratic equation. Therefore, one way we can solve this is by using the quadratic formula, [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].

a, b, and c represent the coefficients in our equation [tex]x^2-5x-24=0[/tex]. a represents the coefficient of the term with degree of 2, which is 1. b represents the coefficient of the term with degree of 1, which is -5. c represents the coefficient of the term with degree of 0, which is -24.

Let us plug them in the equation! Let us start with this one: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{5+\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5+\sqrt{25+96} }{2} =\\\frac{5+\sqrt{121} }{2} =\\\frac{5+11}{2} =\\\frac{16}{2} =\\8[/tex]

Oops! We are looking for the other solution. Let us plug in the values in this equation instead: [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{5-\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5-\sqrt{25+96} }{2} =\\\frac{5-\sqrt{121} }{2} =\\\frac{5-11}{2} =\\\frac{-6}{2} =\\-3[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

i dont know how to answer this...

Step-by-step work-<3