Does this expression represent the sum 13.76 + 2.8?

fifteen and fifty-six hundredths

9514 1404 393

Answer:

  1e. 2t² +8t -6

  2h. a² +2ab -3b²

  3b. 8r +4

  4b. 6x +4y -11

  5b. e -3

Step-by-step explanation:

1e. Combine like terms.

  (3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6

  = 2t² +8t -6

__

2h. (2a² +3ab -4b²) -(a² +ab -b²)

Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.

  = 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)

  = a² +2ab -3b²

__

3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.

  P = (4r -2) +2(2r +3)

  P = 4r -2 +4r +6 . . . . . . eliminate parentheses

  P = 8r +4 . . . . . . . . . . . . combine like terms

__

4b. (3x +4y) +(5x -8) -(2x +3)

Note that the distributive property changes the sign of all terms in the last parentheses.

  = 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses

  = x(3+5-2) +y(4) +(-8-3) . . . group like terms

  = 6x +4y -11

__

5b.

  Bill's age - Erin's age = (2e-3) -(e) = e -3

The difference in their ages is (e -3).

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths

Answer:

1 1/2

B

Step-by-step explanation:

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

The amount paid is given as follows;

[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Which gives;

[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

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Answer:

60 degrees

Step-by-step explanation:

all angles of an equilateral triangle are 60 degrees

Answer:

x=60

Step-by-step explanation:

We know that since all sides are the same, all angles are the same.

x=angle

(180) is the amount of degrees when you add up all of the angles in the triangle

3x=180

x=60

Answer:

n >_44

Step-by-step explanation:

1/2n>_22

(times 2 on both sides)

n >_44

*** >_ is greater than or equal to sign

The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The value of 5 in the given numbers can be written as,

Now, we can write the value of the two numbers as,

5 = 0.5 × x

x = 5/0.5

x = 10

Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

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Answer:

2.2

Step-by-step explanation:

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

Answer:

X≤10/7

Step-by-step explanation:

7x-4≤6

add 4 both sides

7x-4+4≤6+4

7x≤10

divide 7 both sides

7x/7≤10/7

x≤10/7

hope it's helpful ❤❤❤❤

THANK YOU.

The solution of the given inequality is x≤10/7.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be simplified for the value of x as shown below.
7x − 4 ≤ 6

Add 4 both sides,

7x - 4 + 4 ≤  6 + 4

7x≤10

Divide 7 both sides,

7x/7 ≤ 10/7

x ≤ 10/7

Hence, the solution of the given inequality is x≤10/7.

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Answer: 2

Step-by-step explanation:

Answer:

22.4

Step-by-step explanation:

hope it helps

Answer:

The correct answer is 22

Step-by-step explanation:

22.4 to the nearest whole number would be 22.

Answer:

100

Step-by-step explanation:

360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.

Answer:

500

Step-by-step explanation:

well uh, 5 x 100 is 500 and it’s out of 100%.

Answer:

500

Step-by-step explanation:

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

Answer:

f(x)=-|x|+19

Step-by-step explanation:

so shifted 19 units up means

abosolute value of x + 19

and reflected in the x axis means that you have to put the - before the abosolute value.

so -|x|+19

Answer:

U is (0,-8)

V is (0,-10)

T is (5,-8)

S is (5,(-10)

Answer:

16

Step-by-step explanation:

The round-off to the number 16.281 will be 16.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

The given number is 16.281. The round-off to the number will be 16 because the decimal value is less than 5.

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Answer:

-4

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

200 - (11+83+21) = 85 and so 200 - 85 is 115

Answer:

liner increasing

Step-by-step explanation:

Answer: 990

Step-by-step explanation:

(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990

Answer:

A. 990

Step-by-step explanation:

Answer:

csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)

Step-by-step explanation:

csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.

csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]

but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]

Answer:

answer is x=1

Step-by-step explanation:

][[[[[[[[[

Answer:

$2.05

Step-by-step explanation:

just do the math bro

Answer:

$27.72

Step-by-step explanation:

I hope this helps!!!

Answer:

i did't see the value I in the equation

Step-by-step explanation: