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3 years ago

6

The wholesale price for a shirt is $ 6.50 . A certain department store marks up the wholesale price by 60 % . Find the price of

the shirt in the department store. Round your answer to the nearest cent, as necessary.

1 answer:

Ket [755]3 years ago

8 0

6.5(1.6)= $10.40 in the dept store

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If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that

pogonyaev

$Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested$

$Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)$

$Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)$

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$\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250$

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3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

bezimeni [28]

Answer:

Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

$t_{m}$ = time taken by motorcycle to travel distance between them

$v_{m}$ = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

$t_{m}$ = d/ $v_{m}$

$t_{m}$ =540/48

$t_{m}$ = 11.25 h

$t_{c}$ = time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

$v_{m}$ = speed of the motorcycle

speed of motorcycle is given as

$v_{m}$ = d/ $t_{m}$

$v_{m}$ = 540/9

$v_{m}$ = 60 mph

when the car and motorcycle move towards each other, the relative speed is given as

v = $v_{m}$ + $v_{c}$

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

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