last year ,rita opened an investment account with $400 At the end of the year the amount in the account had decreased by 28.5% how much is this decrease in dollars? how much money way in her account at the end of last year

Answer:

a and c

a and c are the expressions with a difference less than 5

Step-by-step explanation:

a) 8.3-4.07=4.23

b) 9.33-3.99=5.34

c) 7.1-2.603=4.497

d) 12.3-7.08=5.22

e)7.005-2.005=5

Hope this helps ;) ❤❤❤

Answer:

Pham Family = 30 hours

Morgan Family = 35 hours

Step-by-step explanation:

Step 1 Deriving the equation

Let the duration in hours of Pham Family sprinkler = "x"

Let the duration in hours  of Morgan Family = "y"

Total combined duration = 65 hours provided.

That is:

x + y = 65                               Equation 1

Pham's sprinkler capacity = 25 litre per hour

Total water through this = 25 litre per hour for "x" hours = 25x

Morgan's sprinkler capacity = 35 litre per hour

Total water through this = 35 litre per hour for "y" hours = 35y

Now, provided

Total water output from both = 1,975 litre

That means

25x + 35y = 1,975                   Equation 2

Step 2 Solving the equation

Let us multiply equation 1 with 25

We have

25x + 25y = 65 [tex]\times[/tex] 25

25x + 25y = 1,625                       Revised Equation 1

Subtracting revised equation 1 from equation 2 we have:

(25x - 25x) + (35y - 25y) = (1,975 - 1,625)

0 + 10y = 350

y = 350/10 = 35

Since y = 35

Putting value of y in original equation 1 we have

x + 35 = 65

x = 65 - 35 = 30

Thus, Total Sprinkler hours of Pham = 30

Total Sprinkler hours of Morgan = 35

Answer:

5

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

Answer:

r<-6

Step-by-step explanation:

8(-3r-5)>104

-24r-40>104

-24r>144

r<144÷-24 (the sign switched because we divided by a negative number)

r<-6

Answer:

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ) = 5.4

Given sample size 'n' = 9

Mean of the sample (x⁻) = 5.7

Standard deviation of the sample (s) = 0.81

Step(ii):-

Null Hypothesis: H₀:  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

Alternative Hypothesis : H₁:  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

           [tex]t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }[/tex]

         t = 1.11

Degrees of freedom

ν = n-1 = 9-1 =8

t₀.₀₁₅ , ₈  = 2.89

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Answer:

12 feet or 12 ft

Step-by-step explanation:

We solve for this question using Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = Angle of elevation = 33.7°

Opposite side = Height of the lamp = ??

Adjacent side = Shadow of the lamp = 18 feet

Hence,

tan 33.7° = Opposite/ 18

tan 33.7° × 18 = Opposite

Opposite = 12.004507735 feet

Approximately to the nearest foot = 12.0feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the lamppost, hence:

tan(33.7) = h/18

h = 12 feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

Answer:

Y=8

Step-by-step explanation:

If it's a line that is parallel to the x-axis, and you know the equation of a line is y=mx+b, the slope(m) is 0 because the line is not a positive or negative slope (since it's parallel to the x-axis).

So, we now have y=b, where b is the y-intercept. Now, since we know one of its coordinates are (5,8), we know that this line will always stay on y=8 since 8 is the y coordinate of (5,8)

An easy shortcut is if you see the question say parallel to the x-axis, the equation of the line will be y=___; if it says the line is parallel to the y-axis, the equation will be x=___

Answer:

199

Step-by-step explanation:

So we have three consecutive numbers that totals 600 when added.

Let's let the first number be n.

This means that the next number is (n+1), and the subsequent number is (n+2).

This totals 600. In other words:

[tex](n)+(n+1)+(n+2)=600[/tex]

To solve for the integers, solve for n.

Combine like terms:

[tex]3n+3=600[/tex]

Subtract 3 from both sides:

[tex]3n=597[/tex]

Divide both sides by 3:

[tex]n=199[/tex]

So, the first integer is 199.

So our sequence is: 199, 200, 201.

So, the least of the three is 199.

And we're done!

Answer:

199 200 201

Step-by-step explanation:

199+200+201= 600

Answer:

i think it will be 20 unit diatance .

Answer:

Step-by-step explanation:

d - 262 = z

Answer:

Hypothesis

a. If two integers are even

Conclusion

b. then their sum is even

Step-by-step explanation:

We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.

In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion )  Part is proved then the "If two integers are even" ( hypothesis) is also true.

Hence the hypothesis is

a. If two integers are even

and

Conclusion is

b. then their sum is even

Answer: B. KL.

Step-by-step explanation:

A kiloliter (kl) is a unit which is derived from the metric SI (System International). This measurement is used when unit of volume with sides equal to one meter (1m) and as such, is equivalent to one cubic meter. One kiloliter (1kl) is which is same as one thousand liters (1000l). The kiloliter is used when volume of liquid is to be measured. This applies to a pool in the question.

Answer:

6*y/2=24

24*2=48

48/6=8

y=8

Step-by-step explanation:

The equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .

A triangle has area 24 square ft. and height 6 ft.

What will be its base. Find an equation also.

What is the formula of area of triangle ?

Area of triangle is ; Area = [tex]\frac{1}{2}[/tex] × b × h

∵ The equation of area of triangle will be ;

Area = A = [tex]\frac{1}{2}[/tex] × b × h ----- - --- --- --- Equation 1

A = 24 = [tex]\frac{1}{2}[/tex] × b × 6

⇒ b = [tex]\frac{24 * 2}{6}[/tex] = [tex]\frac{48}{6}[/tex] = 8

⇒ b = 8 ft.

Thus , the equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .

To learn more about area of triangle click here ;

https://brainly.com/question/23945265

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Answer:A stair rise is the vertical distance from the top of one tread to the top of the next tread. The total run is the overall horizontal distance traveled by the stringer.

Step-by-step explanation:

Answer:

$36.40

Step-by-step explanation:

Purchase Price:

$52

Discount:

(52 x 30)/100 = $15.60

Final Price:

52 - 15.60 = $36.40

$36.40 is the answer. Hope this helps!

Answer:

$36.40

Step-by-step explanation:

Sorry if i'm wrong hope this helps

Answer:

13 seconds more

Step-by-step explanation:

Answer:

Step-by-step explanation:

10x100=1000

Its all about the Zeros

Answer:

x =-1

Step-by-step explanation:

[tex]5x- 7 = 8x - 4\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\5x-7+7=8x-4+7\\\\Simplify\\5x=8x+3\\\\\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}\\5x-8x=8x+3-8x\\\\Simplify\\-3x =3\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{3}{-3}\\\\Simplify\\x=-1[/tex]

Answer:

x = -1

Step-by-step explanation:

[tex]5x - 7 = 8x - 4\\[/tex]

Collect like terms and simplify

[tex]5x-8x =-4+7\\-3x =3[/tex]

Divide both sides of the equation by -3

[tex]\frac{-3x}{-3} = \frac{3}{-3} \\\\x =-1[/tex]

Answer:

Time for the trip= 0.97 hours

Step-by-step explanation:

Distance covered in total = 800km

First half of the journey

= 800/2= 400km

Speed for first half= 900km/h

Time for the first half= 400/900

Time = 4/9 Hours

Distance covered in total = 800km

Second half of the journey

= 800/2= 400km

Speed for second half= 760km/h

Time for the second half= 400/760

Time = 10/19 Hour

Total time for Trip= 4/9 + 10/19

Time for the trip= 0.97 hours

Answer:

B) considers total cost.

Step-by-step explanation:

Economic order quantity (EOQ) is the ideal order quantity a company should purchase to minimize inventory costs such as holding costs, shortage costs, and order costs.

The formula for EOQ is:

Q= √2DS/H

Q=EOQ units

D=Demand in units (typically on an annual basis)

S=Order cost (per purchase order)

H=Holding costs (per unit, per year)

​

Answer:

I believe the answer is 72.

Answer:

For f = -d +2/3a

Step-by-step explanation:

Answer:

Around 4000[since 979 close to 1000]

Step-by-step explanation:

4x979

=>3916

N(S)=6

P(vowel letter)= N(vowel letter)÷N(S)

= 1/6

Answer:1/6

Step-by-step explanation:f

Answer:

Hey there!

A: 7

B: 6

C: 5

D: 7

X: 10

7x6x5x7x7x7x10x10x10=720,300,000

Let me know if this helps :)

Answer:

4

Step-by-step explanation:

8/2=4

4*3=12

12+4=16

16-12=4

Steps to solve:

-1 4/5x = 9

~Simplify

-9/5x = 9

~Multiply 5/-9 to both sides

x = 5

Best of Luck!

Answer:

5

Step-by-step explanation:

Answer:

The other leg is 4 m long, and the hypotenuse is 5 m long

Step-by-step explanation:

Recall that the longest side of a right angle triangle is its hypotenuse, and that the legs and hypotenuse must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2[/tex]

so, we know that the other two sides have consecutive integers for lengths. That is: if one is "x" in length, the other one must be "x+1"

So we can assume that the largest of this is the hypotenuse: "x+1"

Not, they must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2\\(x+1)^2=x^2+3^2\\x^2+2\,x+1=x^2+9\\2\,x+1=9\\2\,x=8\\x = 4[/tex]

then, the other side is of length 4 m, and finally the hypotenuse is of length 4+1 = 5 m