Write if statement that increases pay by 3% if score is greater than 90, otherwise increases pay by 1%.

Answer:

9 squirrels and 36 birds

Step-by-step explanation:

4x+x=45

5x=45

x=9

4*9=36

Answer:

Area = 130 ft^2

Step-by-step explanation:

Area =length * width

Perimeter = 2(L + W)

L=3+x

W= x

Perimeter= 2(3+x+x) =2(3 +2x)=6+4x=46 so x=10

L=3 +10= 13

W= 10

Area = 13* 10 130

Answer:

     800 20 1    

50|          |     |   |

4  |          |      |   |

pretty much a rectangle with 800    20    1    at the top

50     4 on the side

and split the numbers in the box - i tried to recreate it as much as possible

oh then in each little box you have to multiply the numbers so

50 x 800 = 40,000 in the box

50 x 20 = 1,000 in the next box

50 x 1 = 50 in the next box

4 x 800 = 3,200

4 x 20 = 80

4 x 1 = 4

then you add all of them which would be 44,334

The proof that the angles ∠JKM ≅ ∠NKL are congruent is shown below

From the question, we have the following parameters that can be used in our computation:

Also, see attachment for the missing diagram

The above parameters imply that:

If KM bisects ∠JKN, then ∠JKM ≅ ∠NKM

Also, we have

If KN bisects ∠MKL, then ∠MKN ≅ ∠LKN

Recall that

∠JKM ≅ ∠NKM

Substitute ∠MKN ≅ ∠LKN in ∠JKM ≅ ∠NKM

∠JKM ≅ ∠LKN

Rewrite as

∠JKM ≅ ∠NKL

Hence, the angles are congruent

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With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.

To calculate the future value of an investment with compound interest, we can use the following formula:

FV =\(PV * (1 + r/n)^{(n*t)}\)

where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.

In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment  is 5 years.

Using these values, we can calculate the future value (FV) as follows:

FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)

= \(\$900 * (1.03)^{10\)

= $1,191.02

Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.

If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:

I = P x r x t

where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.

In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:

I = $900 x 0.06 x 5

= $270

Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:

Total = $900 + $270

= $1,170

Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.

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The sum that Mahesh borrowed was Rs. 22,800, the interest that Mahesh has to pay was Rs. 6,492, the interest that Rakesh has to pay was Rs. 7,550, and the percentage by which Rakesh pays more interest than Mahesh was 16.3%.

a) Sum borrowed by Mahesh

Let us suppose that the principal sum borrowed by Mahesh from the bank at 9% per annum is Rs. x.

Hence, we can write that

Simple Interest = (P × R × T )/ 100

= (x × 9 × 3)/100

= 27x/100

Therefore, the amount that Mahesh has to pay after 3 years, including the interest, is

A = P + SI

= x + 27x/100

= 127x/100

Again, Mahesh invests the same amount of Rs. x to Rakesh at 10% per annum, which is compounded annually, for three years.

Hence, the total amount after three years that Rakesh has to pay Mahesh is:

Amount after 3 years = x (1 + R/100)³

= x (1 + 10/100)³ = 1.331 x

Therefore, Mahesh made a profit of Rs. 7,550 by investing Rs. x at 10% per annum, compounded annually, for three years.

Hence, we can write that

Compound Interest = Amount - Principal

CI = 1.331x - x = 0.331x

Therefore, 0.331x = Rs. 7,550=>

x = Rs. 22,800

Thus, Mahesh borrowed Rs. 22,800 from the bank.

b) Interest that Mahesh has to pay

Interest = P × R × T/100

= Rs. 22,800 × 9 × 3/100 = Rs. 6,492

Therefore, Mahesh has to pay Rs. 6,492 as interest.

c) Interest that Rakesh has to pay

The total amount that Rakesh has to pay to Mahesh is Rs. 30,350 [= (22,800 + 7,550)].

Therefore, interest that Rakesh has to pay = Total Amount - Principal

= Rs. 30,350 - Rs. 22,800 = Rs. 7,550

Therefore, Rakesh has to pay Rs. 7,550 as interest.

d) Percentage by which Rakesh pays more interest than Mahesh

Let us calculate the percentage difference between the interest paid by Rakesh and the interest paid by Mahesh.

Thus, the percentage difference can be calculated as

% Difference = (|Interest paid by Rakesh - Interest paid by Mahesh|/ Interest paid by Mahesh) × 100

% Difference = (|7,550 - 6,492|/6,492) × 100

% Difference = 16.3%

Therefore, Rakesh pays more interest than Mahesh by 16.3%.

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1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

Answer:

1. 3/4; 75%

2. 0.6; 6%

3. 18/25;0.72

Step-by-step explanation:

Answer:

x = 42

y = 21

Step-by-step explanation:

Since its a right triangle, we have:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

\(sin (60) = \frac{21\sqrt{3} }{x} \\\\x= \frac{21\sqrt{3} }{sin (60)} \\\\x= \frac{21\sqrt{3} }{\frac{\sqrt{3} }{2} } \\\\x = \frac{21\sqrt{3} *2 }{\sqrt{3} } \\\\x = 21*2\\\\x = 42\)

\(cos (60) = \frac{y}{x}\\\\cos (60) = \frac{y}{42}\\\\y = cos (60)*42 \\\\y = \frac{1}{2} * 42\\\\y = 21\)

Answer:

1. repeating decimal

2. terminating decimal

3. rational number

4. bar notation

5. multiplicative inverses

6. zero exponent property

7. product of powers property

8. power of a quotient property

Hope this helps!

Answer:

130 more dollars.

Answer:

130

Step-by-step explanation:

Answer: We can start by simplifying the equation:

x² + 2x + 7 = 21

x² + 2x - 14 = 0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 1, b = 2, and c = -14

x = (-2 ± sqrt(2² - 4(1)(-14))) / 2(1)

x = (-2 ± sqrt(68)) / 2

x = (-2 ± 2sqrt(17)) / 2

x = -1 ± sqrt(17)

We have two solutions: x = -1 + sqrt(17) and x = -1 - sqrt(17). Since both solutions are real, there are no positive solutions to the equation.

To find the greatest solution to the equation, we can use the fact that the solutions are -1 + sqrt(17) and -1 - sqrt(17). The greatest solution is the one that is furthest to the right on the number line.

Since both solutions are negative, the greatest solution is the one with the smaller absolute value. So, the greatest solution is -1 - sqrt(17).

Rounding this to the nearest hundredth gives:

-1 - sqrt(17) ≈ -4.12

Therefore, the approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is -4.12.

Step-by-step explanation:

Answer:

12x - 24y + 15

Step-by-step explanation:

The distributive property multiplies all of the terms by 3.

So:

3(4x) + 3(-8y) + 3(5) =

12x + (-24y) + 15 =

12x - 24y + 15

Answer: (5,12)

Step-by-step explanation:

Did it on Desmos graphing calculator

Steps to solve:

8x - 7x + 6 = 6

~Combine like terms

x + 6 = 6

~Subtract 6 to both sides

x = 0

Best of Luck!

Answer:

0

8x0=0 7x0=0

6+0=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the two-digit number be represented as $10a+b$, where $a$ is the tens digit and $b$ is the units digit. From the problem statement, we have:

$10a+b = 6(a+b)+7$ ....(1)

Also, we know that the tens digit is 3 more than the units digit, so we have:

$a = b+3$ ....(2)

Substituting (2) into (1), we get:

$10(b+3)+b = 6((b+3)+b)+7$

Simplifying the above equation, we get:

$11b+33 = 13b+25$

Subtracting $11b$ from both sides, we get:

$2b+33 = 25$

Subtracting 33 from both sides, we get:

$2b = -8$

Dividing both sides by 2, we get:

$b = -4$

Since $b$ represents a digit, we see that $b$ must be 6 (and not -4), since it is the only digit that satisfies the condition that the tens digit is 3 more than the units digit. Substituting $b=6$ into (2), we get:

$a = b+3 = 6+3 = 9$

Therefore, the two-digit number is $10a+b = 10(9)+6 = \boxed{96}$.

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

TU is XU

YW is SV

Y is V

hope that helps!!

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

DeltaMath

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

Step-by-step explanation:

183,883,72

Answer:

18388372

Step-by-step explanation:

1 )Use the algorithm method.

      3 2 1 7

×              5      7      1      6

        1      1       1      4                      

        1      9      3      0     2            

        3 2  1  7 0

  2 1  1     4  

  2 2 5    1       9      0     0

1  1     3

1  6 0 8   5       0      0     0

      1  1    1

1  8 3 8   8       3       7     2

2 )Therefore, 3217 × 5716 = 18388372.

18388372

The missing term in the second pair is YUL.

To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.

If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:

T + 1 = U

X + 1 = Y

K + 1 = L

Therefore, the missing term in the second pair is YUL.

The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

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Answer:

width is 89ft

Step-by-step explanation:

divide the area by length

Answer:

d

Step-by-step explanation:

Answer:

x=11.34

Step-by-step explanation:

Step-by-step explanation:

so basically they are asking you to subtract, hope this helps, use a calculator if needed

Answer:

the answer is 2600π or in other words 8168.1

Answer:

The answer is 360 pi

Step-by-step explanation:

I don't really have an explanation, I just took the test