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Bas_tet [7]
3 years ago
12

In calendar year 2004, Division A of MegaStore increased its sales from $1.5 billion to $1.8 billion, and Division B increased i

ts sales from $600 million to $1.0 billion. If each division continues to increase sales by these amounts, when will the two divisions have equal sales? What will be the common value of the sales?finite math
Mathematics
1 answer:
german3 years ago
7 0
A’s increase is 1.8/1.5=6/5; B’s increase is 1/0.6=5/3.
A formula for A is A(t)=1.5(6/5)^t and for B, B(t)=0.6(5/3)^t where t is years since 2004.
When A=B, 1.5(6/5)^t=0.6(5/3)^t.
Taking logs: log1.5+tlog(6/5)=log0.6+tlog(5/3), t(log(5/3)-log(6/5))=log1.5-log0.6.
tlog(25/18)=log2.5, t=log2.5/log(25/18)=2.7893 approx.
This occurs during 2006 around mid-October.
Common sales=1.5(6/5)^2.7893=0.6(5/3)^2.7893=$2.4943 billion.
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Please help me with this question!
frez [133]
\text {Laura = }  12 \text { years } 3 \text { months }

\text {Lisa = }  11 \text { years } 7 \text { months }

\text {Deborah = }  11 \dfrac{1}{2}  \text { years } =  11 \text { years } 6 \text { months }

\text {Elizabeth = }  11 \dfrac{1}{3}  \text { years } =  11 \text { years } 4 \text { months }

-----------------------------------------------------
Find Total :
-----------------------------------------------------
\text {Total = } 12 \text { yr } 3 \text { mth } + 11 \text { yr } 7 \text { mth } + 11 \text { yr} 6 \text { mth} +11 \text { yr } 4 \text { mth}

\text {Total = } 45 \text { years } 20 \text { months }

-----------------------------------------------------
Find Average :
-----------------------------------------------------
\text {Average = } (45 \text { years } 20 \text { months }) \div 4

\text {Average = } 560 \text { months } \div 4

\text {Average = } 140 \text { months } \div 4

\text {Average = } 11 \text { years } 8 \text { months }

----------------------------------------------------------------------------------------------------------
\bf \text {Answer : Average = } 11 \text { years } 8 \text { months }
----------------------------------------------------------------------------------------------------------
6 0
3 years ago
Laura has a job that pays $4,625 monthly. How much is
victus00 [196]

Answer: $804.75

Step-by-step explanation:

The Social Security (OASDI) withholding rate is the gross pay times 6.2% of the maximum pay level for that particular year while the Medicare withholding rate is the gross pay times 1.45 %.

Laura has a job that pays $4,625 monthly. Her Medicare will be:

(1.45% of $4,625) × 12

= 0.0145 × $4625 × 12

= $804.75

4 0
3 years ago
A sphere is partially filled with air. If the volume of the sphere is increasing at a rate of 548 cubic feet per second, what is
Rama09 [41]

Answer:

  137/(36π) ft/s

Step-by-step explanation:

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

  A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

  dV/dt = A·dr/dt

  548 ft³/s = (144π ft²)·dr/dt

  dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s

8 0
3 years ago
Find the slope of the given information: (-5,3) and (9,-4) m = y, - y X, - X 1​
dlinn [17]

Answer:

the formula is y coordinate by X coordinates

4 0
3 years ago
Anil completes the 72km journey between Bristol and Cardiff in 48 minutes. He then drives 69km from Cardiff to Swansea at an ave
Sergeeva-Olga [200]

Step-by-step explanation:

we simply need to get the total distance and the total time and put them into relation, norming it to distance in 1 hour. after all, speed is always an average number over a period of time (even if it is a tiny period of time).

the total distance is

72 + 69 = 141 km

he drove 69 km going 60 km/h.

how much time did he need ?

we need to get the hours out of an expression of km and h.

so, we need to do

69 km × 1/60 km/h = 69 h / 60 = 69 minutes = 1.15 hours =

= 1 h 9 minutes

so, the total time was

48 + 69 = 117 minutes = 117/60 = 1.95 hours

the average speed for the whole trip was then

141 km / 1.95 h = 141/1.95 km / 1 h = 72.30769231... km/h

3 0
1 year ago
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