A student is saving at least $5,000 for college. She begins with a savings account set up by her parents containing $2,000. Each month she deposits an additional $50 into the account. Fill in the first blank with the correct expressions that make the statement true.

(Attached is the statement and the choices)

This is the first box only!! Pls help!!! Giving 15-20 points!!!

A Student Is Saving At Least $5,000 For College. She Begins With A Savings Account Set Up By Her Parents

Answers

Answer 1

Answer:

5000 ≥ 2000 + 50a

Step-by-step explanation:

She wants to save at least $5000 for college. The saving account set up by her parents already contains $2000 . This means she has more $3000 to save to meet her minimum target. Each month she saves $50 into the account.

Let

number of month = a

The information can be expressed as follows

5000 ≥ 2000 + 50a

The savings will continue increasing every months because she always deposit $50 every month.

Using the expression

5000 ≥ 2000 + 50a

minus 2000 from both sides

3000 ≥ 50a

divide both sides by 50

3000/50 ≥ a

60 ≥ a

This means she needs at least 60 months to meet her savings/target.


Related Questions

The roman-parthian wars began in 66 BC and ended in 217 AD. how many years did this conflict last?

Answers

283 should be the right answer boss.

Which statements are true about the table of values?
Check all that apply.
O xy = 3
When x = 3, y = 1.
x varies directly with y.
k = 1
3
The graph of this table would not be linear.

Answers

Answer:

A: xy= 3

B: When x= 3, y = 1

E: The graph of this table would not be linear.

Step-by-step explanation:

Edge

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression. Pls answer fast I'm taking a test!!

Answers

Answer:

7

Step-by-step explanation:

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .


Answers

Answer:

169.65 for volume.

Step-by-step explanation:

Volume = πr2h

= π×32×6

= 54π

= 169.64600329385 (unit^3)

I Hope this helps!!!

Answer:

339.12 squared (for surface area)

Step-by-step explanation:

radius=6

area of the circles is, 6*6= 36 * 3.14= 113.04

there are 2 circles so we multiply that by 2 to get 226.08

now to find the perimeter of a circle it is the radius * pi, so that would be 6*3.14= 18.84 now we have a height of 6 so we multiply that by 6 and get 113.04 now add up all our numbers and get 339.12

A coin is tossed and a die is rolled. What is the probability that a tail was tossed and an even number was rolled?What is the probability that a head was tossed and a number larger than 4 was rolled?

Please Show Work! Thanks!

Answers

Answer:

First problem: 1/4 chance

Second problem: 1/6 chance of happening

Step-by-step explanation:

To find the probability we need to multiply the chance of each separate thing happening by each other in each example.

In the first example we have a 1/2 chance that a tail was tossed and 3/6 chance that an even number was rolled.

[tex]\frac{1}{2} *\frac{3}{6} = \frac{3}{12} =\frac{1}{4}[/tex]

So in the first example we have 1/4 chance of happening or 0.25

Same thing with the second example:

[tex]\frac{1}{2} *\frac{2}{6} = \frac{2}{12} =\frac{1}{6}[/tex]

x/2−5=−12
I need to know how to get the answer to what X is

Answers

Answer:

-14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x/2-5=-12

1/2x+-5=-12

1/2x-5=-12

Step 2: Add 5 to both sides.

1/2x-5+5=-12+5

1/2x=-7

Step 3: Multiply both sides by 2.

2*(1/2x)=(2)*(-7)

x=-14

Answer:

-14

Step-by-step explanation:

x/2 = -12 + 5 << add both sides by 5

x/2 = -7 << Combine -12 + 5

x = -14 << Multiply both sides by 2

This revolves around the idea of inverse operations

To get x by itself we needed to bring the other numbers to the other side of the equation.

Inverse operations is bring the numbers to the other side by doing the opposite operation it shows.

ex: if the number is +5 on one side, it will be -5 on the other

Hope this helps!

If you don't understand, please feel free to comment and let me know!

Have a great day!

What is the product?

Three-fourths times 12.44

3.11
9.33
12
36

Awnser pls ill give a star

Answers

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

Answer:

B. 9.33

Step-by-step explanation:

I go with my gut and my gut tells me this the right answer ( I used a calculator).

In a certain city with a working population of 10,500 , 8925 people and less than $75,000 per year what is a percentile rank of someone who earns $75,000 per year

Answers

Answer:

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Step-by-step explanation:

Meaning of percentile:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

In this question:

Working population of 10,500

8,925 people earn less than $75,000 per year.

8925/10500 = 0.85

0.85*100 = 85

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

A jar contains 5 popsicle sticks, numbered 1-5. A stick is drawn, then a letter in the word SPRING is chosen at random. What is the probability the number is greater than 2, then P?

Answers

Answer:

10% probability that the number is greater than 2, then P

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Event A: Number greater than 2.

Event B: Letter P.

These events are independent, so:

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

P(A)

There are 5 numbers.

3, 4 or 5, that is, 3 numbers greater than 2.

3/5 = 0.6. So P(A) = 0.6.

P(B)

6 letters, one of which is P. So

P(B) = 1/6 = 0.1667.

What is the probability the number is greater than 2, then P?

[tex]P(A \cap B) = P(A) \times P(B) = 0.6 \times 0.1667 = 0.1[/tex]

10% probability that the number is greater than 2, then P

Solve for the zeros of the quadratic function f(x) = 9.2 + 6x +1. Write the answer as a fraction.

Answers

Answer:

x = -1.7, or x = -17/10

Step-by-step explanation:

f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution.  Combining like terms, we get

f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).

Then 6x = -10.2, and x = -1.7, or x = -17/10

What is the least common multiple of the two denominators?
6/8 4/32
A.18
B.12
C. 8
D.32

Answers

Answer:

d.32

Step-by-step explanation:

To get the Least Common Multiple (LCM) of 8 and 32 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

8:   222    

32:   22222

LCM:   22222

The Least Common Multiple (LCM) is:   2 x 2 x 2 x 2 x 2 = 32

The least common multiple is = 32

The denominators are 8 and 32.

The multiples of 8 are = 8, 16, 24, 32, 40, ....

The multiples of 32 are = 32, 64, ....

So the least common multiple is = 32

Learn more: https://brainly.com/question/8806877

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

f(x) = x(x – a) (x - 1)3
f(x) = (x - a)
- a)2(x – b)4
f(x) = x(x - a) 6(x – b)2

Answers

Answer:

C

Step-by-step explanation:

I took the test

The function which represents the graph given is f(x) = (x - a)²(x - b)⁴.

What are Polynomials?

Polynomials are expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given is a graph of a function.

The options f(x) = x(x - a)³(x - b)³ and the option f(x)=x(x - a)⁶(x - b)² is not possible since x = 0 is not a root of the given graph.

That is the graph does not pass through the point (0, c) for any c.

Remaining options are f(x) = (x - a)²(x - b)⁴ and f(x) = (x - a)⁵(x - b).

We know that, the graph of a polynomial function always touch the X axis at zeroes with even multiplicities.

So here multiplicity will be even.

So the correct one is f(x) = (x - a)²(x - b)⁴.

Learn more about Polynomials here :

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Plz Help! School is over tommorow and this is last thing I got to do.​

Answers

Answer:

C

Step-by-step explanation:

can i get brainleist plz

Answer:

The first choice

Step-by-step explanation:

When the question says 6 hours or less, then you would use this sign ≤.

The answer choices are easy to cross out because there's only one answer choice that matches the question and that is letter choice A.

8x goes with ≤ 6 and 12x goes with the number that is greater than 6. So, your answer choice is A.

Can someone help me with this please

Answers

Answer:

Here you go

Step-by-step explanation:

A) 3x

B) -2p + 9

C) 13+6w

D) 2(5d + 3c +1)

E) 2(4g - 3)

F) 11a

Answer:

a. 3x

b. -2p+9

c. 6w+13

d. 6c+10d+2

e. 2(4g-3)

d. 11a

Step-by-step explanation:

Solve for x can someone please answer please

Answers

Answer:

the triangles are in AA similarity.

Step-by-step explanation:

CB/DE = AB/AD

3/11 = x/9

cross multiply to get;

x = 2.45

Find the surface area and volume of the figure.

Answers

Answer:

Surface area: 310.86 sq ft

Step-by-step explanation:

First, find the surface area of the cylinder. This can be found by finding the area of the circle at its base, and then the area of its mid-region.

The area of the circle can be found using the formula: a = pi(r^2). r stands for radius, which is 3 in this problem. 3^2 equals 9, which, multiplied by pi (3.14), equals 28.26.

The area of the cylinder's mid-region is equal to the circumference of the circle multiplied by the height of the cylinder. The circumference of the circle is equal to c = 2pi(r), or in this case: 18.84. Now, multiply this value by the height to get 226.08 as the area of the mid-region.

Lastly, find the surface area of the sphere. This can be found using the equation a =4πr^2. r is, again, radius, which in this problem can be represented by 3. The surface area of a sphere with a radius of 3 is 113.04. However, this figure only shows half a sphere, which can be found by dividing 113.04 in half. This gets you 56.52.

Now, simply add all the areas together to get the total surface area!

The expresssion is also equivalent to the cost of the item? c-0.25 c which expression is also equivalent to the cost of the item? 1-0.25c 0.25c 0.75c 1-0.75c

Answers

Answer:

0.75c

Step-by-step explanation:

If we have an expression as:

a*x + b*x

We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:

a*x + b*x  = (a + b)*x

If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:

2*4 + 3*4  = (2 + 3)*4

 8   +  12  = (5)*4

    20        = 20

Therefore, if we have the following expression:

c - 0.25*c

The expression that is equivalent is 0.75c and it is calculated as:

c - 0.25*c = (1 - 0.25)*c

c - 0.25*c = 0.75*c

you roll a 6 sided die what is p(greater than 4)

Answers

Answer:

hey i think its 5 what do u think please folow me

x/2−5=−12
I need to know how to get the answer to X

Answers

X/2 - 5 = -12
X/2 = -7
X = -14

Answer:

x=-14

Step-by-step explanation:

first you add 5 to both sides, to get x/2=-7 then multiply each side by two to get x=-14 that is your answer :D

unless, it is [tex]\frac{x}{2-5}[/tex]=-12 if so than the answer would be 36

Jada rewrites 5•3^x as 15x. Do you agree with Jada that these are equivalent expressions? Explain your reasoning. Help me pleasee

Answers

Answer:yes

Step-by-step explanation:

5*3=15

5*3x=15x

The expression 15x is not the equivalent of the expression 5•3ˣ.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Jada rewrites 5•3ˣ as 15x.

We do not agree with Jada that these are equivalent expressions because she made the mistake.

As per the given obtained expression, we can see that here write 15 as the coefficient of variable x which is actually the power of an argument. the original expression was an exponential function that has 3 representing the base. thus, it cannot be multiplied the 5 by 3.

Thus, the expression 15x is not the equivalent of the expression 5•3ˣ.

Learn more about exponential function here:

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4/3 times 22/7 times 1/4 cubed

Answers

Answer:

88/1344

Step-by-step explanation:

28t = 448 solve for t

Answers

Answer:

t = 16

Step-by-step explanation:

if you do 448 divided by 28 you get 16.

if you do 28 x 16 you get 448

Write a unit rate for the situation. 54$ for 3 tickets.

Answers

Answer:

It would be $18 because you would divide 54 by 3 and get $18 per ticket

Step-by-step explanation:

The unit rate is $18.00 for every ticket. This is because 54/3=18

find whether the given numbers are perfect square or not {step by step}
a.1057
b.23453
c.2304
d.1057

Answers

Answer:

a. 1057 is not a perfect square

b. 23453 is not a perfect square

c. 2304 is a perfect square

d. 1057 is not a perfect square

Step-by-step explanation:

A perfect square is a number x where the square root of x is a number a such that a² = x and a is an integer. For example, 4, 9 and 16 are perfect squares since their square roots, 2, 3 and 4, respectively, are integers.

please graph this for me.

Answers

Answer:

As shown in attached file:

green is f(x) = -3 if -2 <= x <= -1

red is f(x) = -2 if -1 <= x <= 0

blue is f(x) = -1 if 0 <= x <= 1

Hope this helps!

:)

Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the garden. The fence is rectangular in shape and is 21 inches long by 9 inches wide in the scale drawing. Use this information to determine the actual length and width of the fence in Kendall's garden.

Answers

Answer:

length = 14 feet  width = 6 feet

Step-by-step explanation:

you can use rational fractions so...

3/2=21/x         x=14

3/2=9/x          x=6

the x will convert inches to feet

Irwin purchased a $195,000 home with a 30-year mortgage at 5.55%. If makes a $1500 monthly mortgage payment, how many months early will he pay off his mortgage?

Answers

Answer:

160 months

Step-by-step explanation:

just took that ap3x quiz yerrr

HELPPP IM SOOO STUCKK PLEASE!

Answers

Answer:

60% that his or her drink will be a medium.

Step-by-step explanation:

Total amount orders = 5 + 48 + 22 +8 +12 +5

= 100

48 + 12 = 60 (medium orders)

60 out of 100 = 60%

Therefore it is 60%

Please help!!
I grant brainliest.

Answers

Answer:

x = 65, y = 63

Step-by-step explanation:

∠ EGA = ∠ HBG = 52° ( corresponding angles )

ED is a straight angle, thus

52 + y + 65 = 180, that is

y + 117 = 180 ( subtract 117 from both sides )

y = 63

-------------------------------------

∠ HGB = y = 63° ( vertical angles )

The sum of the 3 angles in a triangle = 180°, thus

x + 63 + 52 = 180

x + 115 = 180 ( subtract 115 from both sides )

x = 65

Using the following triangle, write a proof to verify that sinA/a=sinC/c

Write two different expressions for h and set the expressions equal to each other

Answers

Answer:

Proved: [tex]c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Step-by-step explanation:

Given: A triangle

To prove: [tex]\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Solution:

Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.

Sine of angle = side opposite to the angle / hypotenuse

In ΔADB,

[tex]\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)[/tex]

In ΔBDC,

[tex]\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)[/tex]

From equations (i) and (ii),

[tex]c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Hence proved

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