Ariana started a savings account with $240. She deposits $30 into her account at the end of each month. She wants to know how many months it will take for her account to have a balance greater than $500.

Answer:

60 days.

Step-by-step explanation:

Let the actual time be x, then:

x - 0.25x = 45

0.75x = 45

x = 45/0.75

= 60 days.

To form the vector notation for the translation:

   --> must find how much the new graph moved horizontally from the old

        graph

            --> the graph moved 8 units horizontally

   --> must find how much the new graph moved vertically from the old

        graph

           --> the graph moved 4 units vertically

In vector notation, that would be (8,4)

Hope that helps!

Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

Answer:

x-1 is ur answer :)

Step-by-step explanation:

The possible outcomes of an event is the sample space

The product of the sample spaces of the single events determines the total number of possible outcomes of a compound event

Assume that the number of outcomes of n single events are:

[tex]n_1[/tex], [tex]n_2[/tex], [tex]n_3[/tex],........ [tex]n_n[/tex]

When these single events are combined, they form a compound event.

The number of outcomes of the compound event is the product of the number of outcomes of the single events.

i.e.

[tex]Outcomes = n_1 * n_2 * ......... n_n[/tex]

Hence, the product of the sample spaces of the single events determines the total number of possible outcomes of a compound event

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Answer: C

Step-by-step explanation:

They are substituting PQ=25 from steps 1 and 3.

Each ticket could have cost up to $31.

What is the discount?

A discount is a reduction in the price of an item or service. It is often offered as an incentive to encourage customers to purchase or use a particular product or service. The discount amount may be a percentage of the total price, a fixed dollar amount, or a combination of both.

Let the cost of each ticket be $x. Then the total cost for 5 tickets would be 5x. After applying the $30 group discount, the total cost would be 5x - $30.

We know that the total cost was under $125, so we can set up the inequality:

5x - $30 < $125

Simplifying this inequality, we get:

5x < $155

Dividing both sides by 5, we get:

x < $31

Hence, each ticket could have cost up to $31.

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Answer:

78°F

Step-by-step explanation:

75.5°F on Saturday...

75.5 + 6 = 81.5 on Sunday

81.5 - 3.5 = 78°F on Monday

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Temperature:

Saturday = L= 75.5°F ______(1)

Sunday = M = Rose by 6°F

M = L + 6 _____(2)

Monday = N = Dropped by 3.5°F

N = L + 6 - 3.5 _____(3)

The expression that represents the temperature change:

From (1), (2), and (3) we get

N = L + 6°F + 3.5°F

The temperature on Monday:

N = 75.5 + 6 + 3.5

N = 85°F

Thus,

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

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Answer: sqrt(182)

Step-by-step explanation:

Answer:

$0.90

Step-by-step explanation:

0.0725(12.40) = 0.899
0.899 = 0.90
Hope this helps :)

Answer: 358

Explanation:  370 - 12 = 358

The possible value of ∠Y to the nearest tenth of a degrees in triangle WXY is 85.1 degrees.

Let's find angle Y using sine rule,

Hence,

x / sin X = y / sin Y

where

8.5 / sin 100° = 8.6 / sin Y

cross multiply

8.5 sin Y = 8.6 sin 100°

sin Y = 8.6 sin 100° / 8.5

sin Y = 8.4693466759 / 8.5

Y = sin ⁻¹ 0.99639372657

Y = 85.1325941735

∠Y = 85.1°

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Answer: 0.0139358  

Step-by-step explanation: 999,999,999,999,999,999,999,999,999,999,999% sure!

Answer:

550.5323531336038

Step-by-step explanation:

I have a hint: if you ever need help with triangle trigonometry questions go to carbside depot trigonometry calculator it is a literal life savor

Answer:

distance in 3 hours = 150 miles

distance in 1 hour = 150/3 = 50 miles

distance in 9 hours = 50 × 9 = 450 miles

Answer:

Sammy's dad traveled 450 miles in 9 hours.

Step-by-step explanation:

mph = [tex]\frac{Miles}{Hours}[/tex]

Miles = 150

Hours = 3

Plug into the formula of distance/time

[tex]\frac{150}{3} = 50mph[/tex]

Sammy's dad is driving at 50mph

In three hours you can use this formula:  [tex]50mph=\frac{miles}{9}[/tex]

Multiply both sides by 9:  [tex]50mph * 9 =\frac{miles}{9} *9[/tex]

Solve:

[tex]50mph * 9 =miles[/tex]

[tex]450 =miles[/tex]

Sammy's dad traveled 450 miles in 9 hours.

Hope this helped! :)

The volume of the fountain cup in gallons is 4775.2 gallons

Since the fountain cup is in the shape of a frustum, its volume is given by

V = πh/3(r² + rr' + r'²) where

So, substituting the values of the variables into th equation, we have

V = πh/3(r² + rr' + r'²)

V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]

V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]

V = π × 8 ft/3 × (76 ft²)

V = 608π ft³/3

V = 1910.088 ft³/3

V = 636.69 ft³

V ≅ 636.7 ft³

Since there are 7.5 gallons per cubic foot,

The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons

So, the volume of the fountain cup in gallons is 4775.2 gallons

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First, let's solve this equation by subtract 38 from both sides:-

[tex]\bigstar[/tex] 47-38=n

hence, the answer is:-

9=n

or

[tex]\bigstar{\underline{\boxed{\pmb{n=9}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

-58/7

Step-by-step explanation:

Alright so this is a system of equations. First we'll solve the system, and then find the ratio afterwards.

[tex]3x-5y = 11\\2x+3y =5\\[/tex]

Isolate for y on both.

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

and

[tex]3x - 5y = 11\\-5y = 11-3x\\y = \frac{11-3x}{-5}[/tex]

Set both equations equal to each other:

[tex]\frac{11-3x}{-5} = \frac{5-2x}{3}\\ \\\frac{3(11-3x)}{-5} = 5-2x\\ \\3(11-3x) = -5(5-2x)\\\\33 - 9x = -25 + 10x\\33 = -25 + 19x\\58 = 19x\\\frac{58}{19} = x[/tex]

We've got x, now let's solve for y:

[tex]y = \frac{11-3x}{-5} = \frac{11-3(\frac{58}{19}) }{-5}[/tex]

Now we got both x and y, and what they equal.

[tex]y = \frac{-7}{19}\\[/tex]

[tex]x = \frac{58}{19}[/tex]

The ratio of x to y, is essentially [tex]\frac{x}{y}[/tex]. So we will calculate that.

[tex]\frac{\frac{58}{19} }{\frac{-7}{19} } = \frac{58}{19} * \frac{19}{-7} = \frac{-58}{7}[/tex]

Answer:

93

Step-by-step explanation:

19x-2 =  18x+3

x=5

15(5) -2=93

18(5)+3=93

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

Explanation:

The point (-7,-3) means x = -7 and x = -3

Right off the bat, the first equation x = -7 is proven true based on the first coordinate.

Let's now plug the coordinates into the second equation.

y = -x-10

-3 = -(-7)-10

-3 = 7-10

-3 = -3

Which is a true statement.

Both equations are true when (x,y) = (-7,-3)

This is why it is a solution to the system. It turns out it's the only solution to this system. This system is consistent and independent.

You can use a graphing tool like Desmos to plot the two equations, and you should see them crossing at the point (-7,-3)

Answer:

The answer is yes

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

x = -7

y = -x - 10

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the first equation, for x, into the first equation:

x = -7

y = -x - 10

y = -(-7) - 10 <== multiplying two negatives, makes a positive

y = 7 - 10

y = - 3 <== the value of y

Now, we find the value of x by substituting - 3 for y:

y = -x - 10

- 3 = -x - 10

+10     +10

7 = -x <== you can't have a negative variable

/-1    /-1

-7 = x <== the value of x

(x, y) ==> (-7, -3)

Therefore, yes (-7,-3) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

Answer:

Step-by-step explanation:

Given is the quadratic function

In order to have two real roots the discriminant should be posivive

We need D > 0

There is no solution as b² is never negative

[tex]\huge\mathsf\blue{♧ANSWER♧}[/tex]

[tex]\huge \mathfrak \blue{\frac{ - 7}{8} }[/tex]

Function:

[tex]\sf 2\left(3\right)^{x}+2[/tex]

Find y-intercept:

[tex]y=2\left(3\right)^{0}+2[/tex]

[tex]y=\sf 4[/tex]

option B is correct as it cuts y-intercept at 4

Answer:

This is a positive exponential graph with a y-intercept of 4 (when x is 0, y is 4)

Hope this helps!

To find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).

Area of sector = ∅/360 × πr², where ∅ = central angle, and r = radius of the circle.

Given the following:

The area of the circle she wants to find is: 74°/360°.

Since the area of the whole circle is, πr², therefore, to find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).

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[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's use distance formula ~

[tex]\qquad \sf  \dashrightarrow \: d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: d = \sqrt{(2 - ( - 4)) {}^{2} + (0 - 1) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: d = \sqrt{(2 + 4) {}^{2} + ( - 1) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: d = \sqrt{ {}^{} 36+ 1{}^{} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: d = \sqrt{ {}^{} 37{}^{} } [/tex]

Therefore, the required distance is [tex]\sf \sqrt{37}[/tex] units

Answer:

0

Step-by-step explanation:

it less than 4 so u can't pick 4,so it is any number less than 4

Answer:

B) 0

Step-by-step explanation:

The open circle on 4 and the arrow pointing to the left means x < 4

x < 4 means that x is smaller than 4

4 = 4   incorrect as this says 4 is equal to 4

0 < 4   CORRECT as zero is smaller than 4

5 > 4   incorrect as 5 is bigger than 4

4.5 > 4   incorrect as 4.5 is bigger than 4

Answer:

AB ≈ 6.53

Step-by-step explanation:

using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{AB}[/tex] ( multiply both sides by AB )

AB × cos40° = 5 ( divide both sides by cos40° )

AB = [tex]\frac{5}{cos40}[/tex] ≈ 6.53 ( to the nearest hundredth )