At the start of the year, the balance in a married couple’s account is $ 1 , 750 . They decide to each deposit $ 35 into the account each month. Which function represents the amount in the account n months after the beginning of the year? f ( n ) = 1 , 750 + 35 n f of n is equal to 1 comma 750 plus 35 n f ( n ) = 1 , 750 + 70 n f of n is equal to 1 comma 750 plus 70 n f ( n ) = 1 , 750 n + 35 f of n is equal to 1 comma 750 n plus 35 f ( n ) = 1 , 750 n + 70 f of n is equal to 1 comma 750 n plus 70

Answer:

[tex]a_{n}[/tex] = 2n + 7

Step-by-step explanation:

There is a common difference between consecutive terms , that is

11 - 9 = 13 - 11 = 15 - 13 = 17 - 15 = 2

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 2 , then

[tex]a_{n}[/tex] = 9 + 2(n - 1) = 9 + 2n - 2 = 2n + 7

Answer:

B) <

Step-by-step explanation:

Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.

Hopefully that's helpful! Good luck on your quiz. :)

Answer:

Salary A/c. Dr.

To Cash A/c.

(Being salary paid to Gopal)

Step-by-step explanation:

Step-by-step explanation:

4z = 8

z = 8/4

z = 2

3x - 2z = 11

3x - 2.2 = 11

3x - 4 = 11

3x = 11 + 4

3x = 15

x = 15/3

x = 5

x - 4y + z = 11

5 - 4y + 2 = 11

-4y = 11 - 5 - 2

-4y = 4

y = 4/-4

y = -1

Solution → {x,y,z} = {5,-1,2}

Step-by-step explanation:

since the triangle CDE is an isoceles triangle (the 2 legs DC and DE are equally), the 2 angles at its baseline CE are equal.

combined with the fact that the sum of all angles in a triangle is always 180 degrees we can therefore say :

180 = 32 + 2× base angle

148 = 2× base angle

base angle = 74 degrees.

the angle DEC is one of these base angles and therefore 74 degrees.

and because of the symmetry of angles of crossing lines, this is equal to the angle AEB.

the triangle AEB is also an isoceles triangle. the angle A is one of its base angles at the baseline AB.

so, the same principle as before :

180 = 74 + 2× base angle

106 = 2× base angle

base angle = 53 degrees.

so, angle A is 53 degrees.

Answer:

x=4

Step-by-step explanation:

2x=8

÷2

x=4

if you want a fraction then  4/1 which is the same thing as saying 4

Answer:

We’re are the choices

Step-by-step explanation:

Selina had been renting for 18 months when there was a flood. The total cost to replace her damaged belongings was $2,160. 0. Then 20.833 percent would Selina have saved if she had a renters' insurance policy at a monthly cost of $25. 00

percentage, a relative value indicating hundredth parts of any quantity.

Given that

Selina had been renting for 18 months when there was a flood.

The total cost to replace her damaged belongings was $2,160. 0.

if she had a renters' insurance policy at a monthly cost of $25. 00

Then for 18 months it would be

18×25

$450

Now let us remove the amount which got in insurance from total rent.

$2,160. 0-$450

=1710

Now we have to find 450 is what percentage of 2160.

450/2160×100

0.2083×100

20.833

Hence 20.833 percent would Selina have saved if she had a renters' insurance policy at a monthly cost of $25. 00

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answer done last mai btaa dena correct hai

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Example:

Discount formula:

(original_price * discount / 100)

_____________________________________________________

Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80. This is common with promotional and seasonal sales, as a way of encouraging consumers to buy an item at a reduced cost.

___________________________________________________

$279 - $55.80 = $223.20

You would therefore be saving $55.80 on the purchase for a final price of $223.20.

For this calculator, a "stackable additional discount" means getting a further percent off of a product after a discount is applied. Using the same example, assume that the 20% discount is a discount applied by the store to the product. If you have a coupon for another 15% off, the 15% off would then be applied to the discounted price of $223.20. It is not a total of 35% off of the original price. It is less:

15% of $223.20 = $33.48

$223.20 - $33.48 = $189.72

Thus, with a 20% discount off of $279, and an additional 15% off of that discounted price, you would end up saving a total of:

$55.80 + $33.48 = $89.28

This equates to a 32% discount, rather than a 35% discount, and this calculation is how the calculator is intended to be used. As an example, to more efficiently compute the discount described above:

Final price = (0.80 × 279) × 0.85 = $189.72

This is because 80% of the original price is the same as subtracting 20% of the original price from the original price. The same is true for 85% and 15% case applied to the discounted price.

Answer:

175

Step-by-step explanation:

[tex]answer \: = 175[/tex]

The measure of the weight in grams is 175 grams

From the given diagram, you can see that the scale is subdivided by 100grams from zero.

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Answer:

Step-by-step explanation:

the x intercept occurs when y=0

[tex]0=\frac{2x+6}{x-1}\\0=2x+6\\x=-3\\(-3,0)[/tex]

The y intercept occurs when x=0

[tex]y=\frac{2(0)+6}{0-1}=-6\\(0,-6)[/tex]

Answer:

Below in bold.

Step-by-step explanation:

To find the x -intercept put f(x) = 0:

(2x - 6)/(x - 1) = 0

2x - 6 = 0

2x = 6

x = 3

So the x-intercept is at the point(3, 0).

To find the y-intercept put x = 0:

y = (2(0) - 6)/(0 - 1)

= -6/-1

= 6

So the x-intercept is at the point(0, 6).

Answer:

B

Step-by-step explanation:

1 foot = 12 inches

10.5 feet = x                      Cross multiply

1*x = 12 * 10.5                    Combine  

x = 126 inches

Answer:

7p -4p+p

8p-4p= 4p

hope it helps

Answer:

0.65 grams

Step-by-step explanation:

0.5 of a banana is 1/2 of a banana. A full banana has 1.3g which means we can divide this by 2 to find the amount of protein in half a banana. 1.3 ÷ 2 = 0.65. There is 0.65g of protein in 0.5 of a banana.

Hope this helps!

Protein is 0.65 gram in 0.5 of a banana.

How much protein is in 0.5 of a banana?

By Unitary method,we can solve this problem.

But now question is what is the use of Unitary method ?

By some examples we can understand this concept.

Let cost of 5 pens is 50 rupees.

By Unitary method, cost of 1 pen is

[tex]\frac{50}{5} \\ = 10 \: rupees[/tex]

Cost of 100 pens is [tex](100 \times 10) = 1000 \: rupees[/tex]

Again length of 1 rope is 5 m

Then by Unitary method length of 5 rope is [tex](5 \times 5) = 25 \: m[/tex]

Here given,One banana contains 1.3 grams of protein.

According to question we can say one banana has 1.3 grams of protein.

We want to find quantity of protein in 0.5 banana.

We know,

[tex]0.5 \: of \: banana = \frac{1}{2} \: of \: banana[/tex]

Here quantity of protein in 1 banana is 1.3 grams

So,by Unitary method quantity of protein in [tex] \frac{1}{2} [/tex] banana is

[tex](1.3 \times \frac{1}{2} ) \: grams \\ = \frac{13}{10} \times \frac{1}{2} \\ = 0.65 \: grams[/tex]

Therefore 0.5 banana contain 0.65 grams protein.

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Answer:

147 seconds to get to the shore(after the 49 seconds)

Step-by-step explanation:

If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds

for minutes, just divide by 60

Answer:

d a m i dont even know this

Step-by-step explanation:

Answer:

296 miles

Step-by-step explanation:

Use a proportion:

111/( 3/8) = x/ 1

Cross Multiply

   (3/8)x = 111

Multiply both sides by 8/3 ; reciprocal

          x = (8/3) (111)

          x = 296 miles

Answer:

1>233B+23 =28.32

Step-by-step explanation:

Hope This Helps

Answer:

13 and 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x^n=p\\x=\frac{\log(p)}{\log(n)}[/tex]

[tex]500=50*1.23^x\\10=1.23^x\\\frac{\log(10)}{\log(1.23)}= 11.12283811[/tex]

Answer:

B

Step-by-step explanation:

the answer is 4 <x or x is equal to smaller than q0

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

f(n) = 4n

Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.

Answer:

try finding slope

Step-by-step explanation:

Answer:

i have no idea1233930494

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

If the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.

The rate of net flow of the water = Water outgoing - Water ingoing

The rate of net flow of the water = 8/9 - 4/9

The rate of net flow of the water =4/9

The change in the amount of liquid in the tub after 1/3 minute is,

=4/9 × 1/3

=4/27

Thus, if the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

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Answer:

20 out of 120 times

Step-by-step explanation:

As others have said, the general formula is:

expected successes = probability*number of trials

Perhaps an easier question: If you roll a die 6 times, how many 4s would you expect to get?

1, right? 1 out of every 6. That’s what 1/6 means.

If you roll a die 12 times, you expect 2. 2/12 = 1/6

Answer:

Step-by-step explanation:

Givens

C = 12 * pi

C = 2*pi * r

Solution

2*pi * r = 12*pi                        Divide both sides by 2pi

2*pi * r/ 2*pi = 12*pi/2pi

r = 6

Answer: the diameter = 2 * r

the diameter = 12

Answer:

To solve for h, isolate the “h” on one side of the equation.

Combine like terms on the left sides (h). When combing like terms add and subtract as normal and attach the variable.

4-14h=60

Subtract 4 from both sides.

-14h=56

Divide both sides by -14.

h=-4

Hope this helps! :)

Answer:

h = -4.

Step-by-step explanation:

4-6h-8h=60

4-4-6h-8h = 60-4

-14h = 56

h = 56/-14

= -4.