9.35 x 9 = 3.15 is this an overestimate or underestimate?

Answer:

answer is b

Step-by-step explanation:

25

have a great day! :3

Answer:

Hello again the square root of 625 is 25

Answer:

a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000

 b) $83,421.88

 c) s[n] = 70000·1.05^n -20000

Step-by-step explanation:

a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...

 s[0] = 50000 . . . . the recursion relation initial condition

The next year, the salary is multiplied by 1.05 and 1000 is added:

 s[1] = 1.05·s[0] +1000

This pattern repeats, so the recursion relation is ...

 s[n] = 1.05·s[n-1] +1000

__

c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).

The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...

 base salary after n years = 50,000·1.05^n

The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:

 sum = a1(r^n -1)/(r -1) . . . . . (see note below)

 sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)

So, the total salary after n years is ...

 s[n] = 50000·1.05^n + 20000(1.05^n -1)

The exponential terms can be combined, so we have the explicit formula ...

 s[n] = 70000·1.05^n -20000

__

b) The year 2025 is 8 years after 2017, so we want to find s[8].

 s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000

    = 103,421.88 -20000 = 83,421.88

In 2025, the employee's salary will be $83,421.88.

_____

Note on the sum of the add-ons

A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....

The sum of such a geometric sequence has the formula

 Sn = a1·(r^n -1)/(r -1)

Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as

 Sn = 20000·(1.05^n -1).

The amount spent on calls per minute is an illustration of unit rates.

The amount spent on the 38-minute call is $113.62

The given parameters are:

[tex]\mathbf{Rate = \$2.99/minute}[/tex]

[tex]\mathbf{Time = 38\ minutes}\\[/tex]

So, the amount spent on call is:

[tex]\mathbf{Amount = Rate \times Time}[/tex]

This gives

[tex]\mathbf{Amount = \$2.99/minute \times 38\ minutes}[/tex]

Cancel out minutes

[tex]\mathbf{Amount = \$2.99 \times 38}[/tex]

[tex]\mathbf{Amount = \$113.62}[/tex]

Hence, the amount spent on the 38-minute call is $113.62

Read more about unit rates at:

https://brainly.com/question/18065083

Answer:

240.50 x 19.54= 4699.37

Answer: 5xy-x2t+2xy+3x2t Final result : x • (2xt + 7y) Step by step solution : Step 1 :Equation at the end of step 1 : ((5xy-((x2)•t))+2xy)+(3x2•t) Step 2 : Step 3 :Pulling out like terms : ...

Step-by-step explanation:

Answer:

2  [tex]x^{2}[/tex] + 7 x y

Step-by-step explanation:

Answer:

it is either f or h

Answer:

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation:

Answer:

If you WANT to divide pi, there is half a pi left.

Step-by-step explanation:

There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.

(if that makes sense! sorry if it doesn't :\ )

Answer:

The answer is 19

Step-by-step explanation:

I forgot how I figured it out but I did

Answer:

h=23

Step-by-step explanation:

triangle equals 180 degrees

180-40=140

140/4=35

Answer:

The correct answer I think is D

Step-by-step explanation:

The explanation of the other person is right, but you do 3-7, which gives u -4

Answer:

angle bisected of angle abc

24 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tell me if im right

Step-by-step explanation:

Based on the given conditions,

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]

[tex]Reduce the fraction: 2 \times320

[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]

Answer 640

Answer:

[tex]\sf\longmapsto \: 640[/tex]

Step-by-step explanation:

Based on given cases:

[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]

Reduce the fraction:

[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]

[tex] \sf \longmapsto \: 320 \times 2[/tex]

Calculate the product/quotient:

[tex] \sf\longmapsto \: 640[/tex]

Answer:

jgfjfhjhjbnbvmnfnmf

Step-by-step explanation:

Answer:

-7/3

Step-by-step explanation:

To find the slope, we use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 7 - -7)/(-3 -3)

    = ( 7+7)/( -6)

    = 14/-6

   = 7/-3

   = -7/3

Step-by-step explanation:

m = y2-y1 / x2-x1

= 7+7 / -3-3

= 14/-6

= -7/3

[tex]x = \pm \sqrt{6}[/tex]

[tex]p = 2(l + w) = 2.(15 + 12) = 54 cm[/tex]

Answer:

=−12x−156

Step-by-step explanation:

=(12)(x+−8+−2x+−5)

=(12)(x)+(12)(−8)+(12)(−2x)+(12)(−5)

=12x−96−24x−60

=−12x−156

Step-by-step explanation:

= 12(x - 8 -2x - 5)

= 12(-x - 13)

= -12x - 156

please give me a brainliest answer

Answer:

y = -5/4x + 7

Step-by-step explanation:

y = -5/4x + b

2 = -5/4(4) + b

2 = -5 + b

7 = b

Answer:

68.4210526316

you first divide 19/100 and then you divide the out put 13/ 0.19

Step-by-step explanation:

Answer:

23/4

Step-by-step explanation:

Answer:

A mixed number is an addition of its whole and fractional parts.

[tex]5 \frac{3}{4} [/tex]

Add:

[tex]5 \: and \: \frac{3}{4} [/tex]

To write 5 as a fraction with a common denominator, multiply by

[tex] \frac{4}{4} [/tex]

Combine:

[tex]5 \: and \: \frac{4}{4} [/tex]

Combine the numerators over the common denominator.

[tex] \frac{5.4 + 3}{4} [/tex]

Simplify the numerator.

Multiply 5 by 4.

Add 20 and 3.

[tex] \frac{23}{4} [/tex]

Step-by-step explanation:

Thanks!!!!!!

Answer:

10

Step-by-step explanation:

eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.

Answer:

(m÷3)+2in

Step-by-step explanation:

(m÷3) represents the division of Myron's height and 3

+2 is the extra 2 inches

Hope this helps! :)

Step-by-step explanation:

the area =

[½(8+2)×4] + [½×3.14×1²]

= 20 + 1.57

= 21.57

= 21.6

uhhhhhhhhhhhhhhhhh i have no clue so sorry

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Direct variation

y = kx

16 = k*8

Divide each side by 8

16/8 = 8k/8

2 = k

The equation is y =2x

y =2x

Let y =32

32 = 2x

Divide by 2

32/2 = x

16 =x

Answer:

x = 45

Step-by-step explanation:

180-136 = 44

x - 1 = 44

x = 44 + 1

x = 45

x = 45°

Step-by-step explanation:

The two angles are supplementary so

[tex]136° + (x-1) = 180°[/tex]

[tex]\Rightarrow x - 1 = 44°[/tex]

or

[tex]x = 45°[/tex]