If 130 is invested in a savings account that earns 4% interest per year, which of the following is closest to the amount in the account at the end of 10 years

Answer:

The greatest area possible is 729[tex]inch^{2}[/tex]

Step-by-step explanation:

i) If a = [tex]-w^{2} + 54w[/tex] where w is the width of the picture frame

  differentiating on both sides we get

  [tex]\frac{da}{dw} = -2w + 54[/tex]

Differentiating the above again on both sides we get   [tex]\frac{d^2a}{dw^2}[/tex]  = -2

 Since the second order derivative is negative then we can get the solution for the maximum area by equating the fist order derivative equation to 0.

 Therefore -2w + 54 = 0     therefore w  = 27.

ii) If we substitute w = 27 into the equation in ii) we get

   a  = [tex]-(27)^2 +(54\times 27)[/tex] = (54 - 27) [tex]\times[/tex](27)  = [tex]27^{2}[/tex] = 729

Answer:

Equal to 3

The drawing will help

Answer: Less than

Step-by-step explanation:

The answer will be 2 causing it to be less than 3

multiply 3*2 and get 6

1*3 and get 3

6/3 = 2

3 tuns into 3/1

Remember: Any whole numbers by itself turns into a fraction when multiply fractions and a whole number. So 3 becomes 3/1

Answer:

C

Step-by-step explanation:

if you multiply 2.3 times pi you get the answer

Answer:

3. A

4. D

Step-by-step explanation:

r : radius

area of a circle = 3.14×r²

3,14×11^2 = 379,94

3,14×(2,3÷2)^2 = 4,15265

Answer:

43 questions in total

Step-by-step explanation:

the original equation with the unknown (total number of questions on the test) will look like this

[tex] \frac{total \: number \: of \: questions \: on \: exam}{24 \: answered \: questions} = 80\%[/tex]

we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)

now you rearrange.

you need to move the 24 to get the total on it's own here's how you do it

[tex] \frac{tot \: num \: of \: qs}{24} \times 24 = 80\% \times 24[/tex]

what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write

got mum of Q's x 1= 80 x 24

now you convert % to decimal

[tex]80\% \times 100 = 0.80[/tex]

replace

[tex]tot \: num \: qs \: = 24 \times 0.80 = 19[/tex]

now you take the original and + the 19

[tex]24 + 19 = 43[/tex]

therefore there are a total of 43 questions on the exam

To find the total number of questions on the test, we set up a ratio where 24 questions represents 80%. By comparing it to a ratio where X represents 100%, and solving for X, we get the total number of questions.

The question pertains to the concept of percentages. In Sarah's case, she answered 24 questions correctly and got an 80%, meaning that these 24 questions represent 80% of the total questions on the test. Hence, to find the total number of questions on the test, we set up a ratio such as this: 24 is to 80 as X (total questions) is to 100. We solve for X by multiplying the cross products and dividing by 80. The result will give us the total number of questions on the test.

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Answer:

1548

Step-by-step explanation:

Their are 36 inches in a yard multiply by 43 it’s 1548

Answer:

Step-by-step explanation:

y intercept is 3

y - 4 = 3 ( x - 4)

y - 4 = 3x - 12

y < 3x - 8

not equal to because the line is dashed.

not greater than because the shading is below the line

Answer:

12=12 Many Solutions

Step-by-step explanation:

6(x+2)=6x+12

6x+12=6x+12

-6x -6x

12=12

*MANY SOLUTION

*THERE IS A SOLUTION

Answer:

Step-by-step explanation:

hello :

(7-2i)/(4 +3i)

=(7-2i)×(4-3i)/(4 +3i)×(4-3i)

but : (7-2i)×(4-3i) =28-21i-8i+6i²

(7-2i)×(4-3i) = 22-29i   ....i² = -1

(4 +3i)×(4-3i) = 4²-(3i)²...(identity)

                   = 16+9 =25

so :

(7-2i)×(4-3i)/(4 +3i)×(4-3i)

=(22-29i)/25

(7-2i)/(4 +3i) = 22/25 -29/25i

(form : a+ib)

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.

To divide complex numbers, we need to multiply the numerator and denominator by the conjugate of the denominator. The conjugate of 4 + 3i is 4 - 3i. So, we have ((7 - 2i) * (4 - 3i)) / ((4 + 3i) * (4 - 3i)).

Multiplying the numerators and the denominators, we get (28 - 21i - 8i + 6i^2) / (16 - 12i + 12i - 9i^2).

This simplifies to (28 - 29i - 6) / (16 + 9).

Finally, dividing the real parts and the imaginary parts separately, the quotient is:

Quotient = (22 - 29i) / 25

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Answer:

 n < -1

Step-by-step explanation:

3 < -5n+2n ⇔ 3 < -3n ⇔ -1 > n

Answer: you will be able to buy 13.20224719101124 bananas.

Answer:

Only one solution my boiiii

Answer:

Step-by-step explanation:

9x + 23 = 3x + 3

9x - 3x = 3 - 23

6x = -20

x = -20/6

x = - 10/3

x = -3 1/3

The temperature increased by 15°C.

Temperature is a physical quantity that expresses the perceptions of hotness and coldness

Given that at midnight the temperature is -6°C. At midday the temperature is 9°C. Therefore, the difference in the temperature can be written as,

The difference in temperature

= Temperature in Midday - Temperature at midnight

= 9°C - (-6° C)

= 15° C

Therefore, The difference in the temperature is 15°C.

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The answer is gonna be 15

Answer:

Domain: -1 ≤ x ≤ 4

Range: -20 ≤ 5f(2x) ≤ 30

Step-by-step explanation:

Inputs of f are between -2 and 8

Input is now 2x, so

-2 ≤ 2x ≤ 8

-1 ≤ x ≤ 4

(Horizontal stretch, factor 1/2)

Range of f is -4 ≤ y ≤ 6

So,

-20 ≤ 5y ≤ 30

(Vertical stretch, factor 5)

The domain of g(x) is [-1, 4].

The  range of g(x) is [-20, 30].

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Domain of f(x) = [-2, 8]

Range of f(x) = [-4, 6]

g(x) = 5 f(2x)

Since -2 ≤ x ≤ 8 and -2 ≤ 2x ≤ 8 = -1 ≤ x ≤ 4.

The domain of g(x) = [-1, 4]

Now,

The range of g(x) = [-20, 30]

Since -4 ≤ y ≤ 6,

5 x (-4) ≤ 5y ≤ 5 x 6

-20 ≤ 5y ≤ 30

Thus,

The domain and range of g(x) are

[-1, 4] and  [-20, 30].

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x = 11 (or) x = –13

Solution:

Theorem:

If three or more parallel lines are cut by a transversal then they divide the transversals proportionally.

Given lines l, m, n are parallel lines cut by a two transversal lines.

Therefore, they are in proportion by the above theorem.

[tex]$\Rightarrow\frac{x+5}{10}=\frac{12.8}{x-3}[/tex]

Do cross multiplication.

[tex]$\Rightarrow(x+5)\times(x-3)=12.8\times10[/tex]

[tex]$\Rightarrow x^2+5x-3x-15=128[/tex]

[tex]$\Rightarrow x^2+2x-15=128[/tex]

Arrange all terms in one side.

[tex]$\Rightarrow x^2+2x-15-128=0[/tex]

[tex]$\Rightarrow x^2+2x-143=0[/tex]

[tex]$\Rightarrow x^2-11x+13x-143=0[/tex]

Take common terms outside

[tex]$\Rightarrow x(x-11)+13(x-11)=0[/tex]

[tex]$\Rightarrow (x-11)(x+13)=0[/tex]

[tex]$\Rightarrow (x-11)=0\ \text{(or)}\ (x+13)=0[/tex]

⇒ x = 11 (or) x = –13

Hence x = 11 (or) x = –13.

Answer:

70,000

Step-by-step explanation:

In the population number 1,274,589 for Birmingham, the 7 is in the ten thousands place. Therefore, its value is 70,000.

This problem revolves around understanding of place values in Mathematics. Specifically, we are asked

what is the value of 7

in the population number 1,274,589 for Birmingham. A critical observation is that each position of a digit in a number has a different value. Counting from right (or the ones position) to left, we find that the number 7 is in the ten thousands place. Therefore, the value of 7 in this number is actually 70,000.

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The solution is x = 8 and y = -5

Solution:

Given system of equations are:

x + y = 3 ------ eqn 1

3x + 2y = 14 ------ eqn 2

We have to find the solution to the equations

We can use substitution method to solve

From eqn 1,

x + y = 3

Isolate for "x"

x = 3 - y ------ eqn 3

Substitute eqn 3 in eqn 2

3(3 - y) + 2y = 14

9 - 3y + 2y = 14

-y = 14 - 9

-y = 5

Substitute y = -5 in eqn 3

x = 3 - (-5)

x = 3 + 5 = 8

Thus the solution is x = 8 and y = -5

The cost of old computer is $ 357

Solution:

Let "x" be the cost of old computer

From given,

Cost of new computer = $ 709

Blairs new computer cost 5$ less than twice the cost of her old computer

Therefore,

Cost of new computer = twice the cost of old computer - 5

Cost of new computer = 2x - 5

709 = 2x - 5

2x = 709 + 5

2x = 714

Divide both sides by 2

x = 357

Thus the cost of old computer is $ 357

Answer:

$357

Step-by-step explanation:

709=2x-5      

+5           +5

cross the right column out

709+5 = 714

714=2x

divide 714 by 2 and get 357

HOPE THIS HELPS!!!

Answer:

[tex] - 5 \frac{3}{4} \times \frac{8}{23} = - \frac{23}{4} \times \frac{8}{23} = - 2[/tex]

Answer:

$12,000

Step-by-step explanation:

Let's say the husband's income was $H, and the Wife's was W.

h + w = 75,000

H = 5w + 15, 000

Substitute that for H.

5w + 15,000 + w = 75,000

6w + 15,000 = 75,000

6w=60,000

w=12,000, So the wife earned $12,000.

Answer:

6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)

5 x + 4 = negative 54

5 x = negative 58

Step-by-step explanation:

we have

[tex]\frac{5}{6}x+\frac{2}{3}=-9[/tex]

solve for x

Multiply by 6 both sides

[tex]6(\frac{5}{6}x+\frac{2}{3})=6(-9)[/tex]

[tex]5x+4=-54[/tex]

subtract 4 both sides

[tex]5x=-54-4\\5x=-58[/tex]

divide by 5 both sides

[tex]x=-\frac{58}{5}[/tex]

Answer:

6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)

5 x + 4 = negative 54

5 x = negative 58

Step-by-step explanation:

The student with the lowest unit rate is Mickey, with a unit rate of 0.3 miles per minute.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

We are given that;

Equation d=m

Susan distance travelled=3 miles in 5 minutes

Now,

To find the unit rate, we need to divide the distance traveled by the time taken. Let's start by calculating the unit rate for each student:

Jason: The equation given for Jason's distance traveled is d = m, where d is the distance traveled in m minutes. Therefore, his unit rate is 1 mile per minute.

Susan: She traveled 3 miles in 5 minutes. To find her unit rate, we divide 3 miles by 5 minutes:

Unit rate = 3 miles / 5 minutes = 0.6 miles per minute

Mickey: The points on Mickey's distance vs time graph are (20,6), (40,12), and (60,18). We can use these points to calculate the unit rate for Mickey.

Between the points (20,6) and (40,12), the distance traveled is 12 - 6 = 6 miles, and the time taken is 40 - 20 = 20 minutes. Therefore, the unit rate is:

Unit rate = 6 miles / 20 minutes = 0.3 miles per minute

Between the points (40,12) and (60,18), the distance traveled is 18 - 12 = 6 miles, and the time taken is 60 - 40 = 20 minutes. Therefore, the unit rate is:

Unit rate = 6 miles / 20 minutes = 0.3 miles per minute.

Therefore, by distance given the answer will be 0.3 miles per minute.

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Answer:

[tex]t \geqslant 49[/tex]

Step-by-step explanation:

If Thomas earned $49 OR more, therefore he could have earned either $49 or greater. Please mark brainliest! : )

The inequality that describes the situation is t >= 49. This means that the amount Thomas earned, represented by the variable t, is greater than or equal to $49.

The inequality that describes the situation is t >= 49.

This means that the amount Thomas earned, represented by the variable t, is greater than or equal to $49.

For example, if Thomas earned $49, the inequality is true. If Thomas earned more than $49, the inequality is also true.

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Answer:

it's A.

Step-by-step explanation:

eqilateral means allsides equal while isosceles means two sides are equal.

Answer:

A

Step-by-step explanation:

Answer:

Carlos is 8

Step-by-step explanation:

I solved this by subtracting 9 from her age, which gets rid of that. 57-9=48

Carlos is 48/6 years old, or 8

Answer:

The answer is 8

Step-by-step explanation:

Final answer:

To find the number in the middle of 15 and 24, you calculate the mean, which is (15 + 24)/2, resulting in 19.5.

Explanation:

How to Calculate the Number in the Middle of 15 and 24

To calculate the number in the middle of two values, we are essentially seeking the mean or average of those two numbers. This can be done by adding the two numbers together and then dividing by the number of values, which is 2 in this case. Thus, the calculation would be (15 + 24)/2.

Let's do the math: (15 + 24)/2 = 39/2 = 19.5.

Therefore, the number in the middle of 15 and 24 is 19.5.