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3 years ago

Is 100 a reasonable estimate for 915.25 +88.22? Explain.

Mathematics

1 answer:

Ugo [173]3 years ago

4 0

Answer:

When estimating always round to the nearest whole number, 10th or 100th.

Im not sure if which estimation you are requesting in this question but i'l give you three answers:

The nearest whole number which would be 915 and 88 would be 1,003

The nearest 10th which is 920 and 90 which would be 1,010

The nearest 100th which would be 900 and 90 which would be 990

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DRAG EACH tile to the correct box.

m_a_m_a [10]

Answer:

The matched table:

A. vertical stretch of a factor of 3 ⇒ g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3 ⇒ g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3 ⇒ $g(x) = 5^{\frac{1}{3}x}$

D. horizontal compression of a factor of 1/3 ⇒ $g(x) = 5^{3x}$

Step-by-step explanation:

IDENTIFYING VERTICAL STRETCH AND COMPRESSION

Let us consider the given function f(x) = 5ˣ

The function g ( x ) = 3 (5)ˣ would be vertically stretched by 3, as value of the multiplied constant '3' is greater than 1.

And the function g ( x ) = 1/3 (5)ˣ would be compressed vertically by 1/3, as the value of the multiplied constant '1/3' is less than 1.

IDENTIFYING HORIZONTAL STRETCH AND COMPRESSION

Let us consider the given function f(x) = 5ˣ

Note: please remember that when the function input gets multiplied by a positive constant - assuming that constant as 'b' - we would obtain a function - a transformed function with a graph horizontally compressed or stretched.

If b > 1, the graph would be horizontally compressed by a factor of 1/b.

If 0 < b < 1, the graph would be horizontally stretched 1/b.

So the function $g(x) = 5^{\frac{1}{3}x}$ would be horizontally stretched by 3. The reason is simple. The constant value 1/3 is greater than 0 but lesser than 1.

And the function $g(x) = 5^{3x}$ would be stretched vertically by 3. The reason is simple. The constant value 3 is greater than 1.

So, the correct box would look like this:

A. vertical stretch of a factor of 3 ⇒ g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3 ⇒ g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3 ⇒ $g(x) = 5^{\frac{1}{3}x}$

D. horizontal compression of a factor of 1/3 ⇒ $g(x) = 5^{3x}$

Keywords: transformation, horizontal stretch and compression, vertical stretch and compression

Learn more about horizontal stretch and compression, vertical stretch and compression from brainly.com/question/1806691

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5 0

4 years ago

Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest after one year his total inte

Len [333]

Answer: ken invested $3500 in the 8% account.

Step-by-step explanation:

Let x represent the amount invested in the account earning 8% interest.

Let y represent the amount invested in the account earning 12% interest.

Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 8%

I = (x × 8 × 1)/100 = 0.08x

Considering the account earning 12%

I = (y × 12 × 1)/100 = 0.12y

After one year, his total interest earned from the two accounts totaled $580 . This means that

0.08x + 0.12y = 580 - - - - - - - - - - 1

Substituting x = 6000 - y into equation 1, it becomes

0.08(6000 - y) + 0.12y = 580

480 - 0.08y + 0.12y = 580

- 0.08y + 0.12y = 580 - 480

0.04y = 100

y = 100/0.04

y = 2500

x = 6000 - y = 6000 - 2500

x = 3500

7 0

3 years ago

Find the percent rate per annum at which $275 will double itself in 2 year

pochemuha

Answer:

50%

Step-by-step explanation:

50/100 x 275 = 137.5

137.5 = 275

7 0

2 years ago

So you want to finance a car for $4840 let's say we offer a 4.5% interest rate on a two year loan at 6% on a five year loan?

Virty [35]

Answer:

Interest Rate on 2-Year Loan...$435.6

Interest Rate on 5-Year Loan...$1,452

Step-by-step explanation:

The formula for calculating simple interest is as follows.

I = P x R x T,

where I = interest

P= Principal

R= interest rate

T= time

For the loan at 4.5 percent for 2 years, the interest will be

= $4,840 x 4.5/100 x 2

= $4,840 x 0.045 x 2

= $435.6

Total cost of the loan will principal plus interest

=$435.6 + $4,840

=$5,275.6

Monthly loan cost

= $5,275.6/24

=$219.81

Total loan cost..$5,275.6

Monthly loan cost ...$219.81

For the Loan at 6 percent for 5 years, the interest will be

= $4,840 x 6/100 x 5

= $4,840 x 0.06 x 5

=$1,452

Total cost of the loan will be principal plus interest

=$ 4,840 + $1,45

=$6,292

Monthly costs will be

=$6,292/60

=$104.87

Total loan cost... $6,292

Monthly loan costs... $104.87

5 0

3 years ago

The temperature was -6°F. It rose so that the temperature was 0°F. What integers represents the change in temperature

Sliva [168]

Answer:

bh,bjh

Step-by-step explanation:

3 0

4 years ago

Is 100 a reasonable estimate for 915.25 +88.22? Explain.​

Is 100 a reasonable estimate for 915.25 +88.22? Explain.