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maxonik [38]
3 years ago
11

Ramone plans to give a bag of candy to each of the 27 students in his class. Each bag of candy will cost $2.87. Which expression

gives the best estimate for the total cost of the bags of the candy?
A. $2 x 20
B. $2 x 30
C. $3 x 20
D. $3 x 30
Mathematics
2 answers:
Elanso [62]3 years ago
8 0
D. $ 3x30

Since $2.87 round to $3 and 27 rounds to 30 you would multiply the cost of each bag ($3) by the amount of people (30) meaning your estimate would be 30x3 which equals $90
Leno4ka [110]3 years ago
3 0
Yes the correct answer is D. I got this right!
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For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
The table shows the balance of a money market account over time. Write a function that represents the balance y (in dollars) aft
dexar [7]

9514 1404 393

Answer:

  y = 2200(1.08^t)

Step-by-step explanation:

The interest earned the first year is ...

  (2376 -2200)/2200 = 0.08 = 8%

The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...

  y = 2200(1.08^t)

_____

The compound interest formula is ...

  A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years

7 0
3 years ago
the sum of ones digit and tens digit is also 10. However, my ones digit is greater than my tens digit. i am a prime number less
Naddik [55]
The number that would fit is 37.
7 0
3 years ago
YA'LL PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Travka [436]

Answer: y= 3x+2

Step-by-step explanation:

because....

The slope-intercept form is y= mx +b, where m is the slope and b is the y-intercept.Use the slope 3 and a given point (1,5) to substitute for  and  in the point-slope form .

y-(5)= 3*(x-(1))

After simplifying it,

the equation is going to be y= 3x+2.

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5 0
3 years ago
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bazaltina [42]

The trapezoid's area is 126 inch².

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, A = \frac{b_{1}+b_{2}}{2} h.

Here b_{1} is the lower base and b_{2} is the upper base, height is h.

Step 2:

In the given diagram,

b_{1} = 12 inches and b_{2}= 2+12+2=16 inches and h = 9 inches.

A = \frac{b_{1}+b_{2}}{2} h = \frac{12+16}{2} (9) = 14(9)= 126 inch².

So the given trapezoid's area is 126 inch².

8 0
4 years ago
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