MATHEMATICS HIGH SCHOOL

Tom has offered to sell Julian his motorcycle for $1,200. Julian knows this is a very good deal, since the same motorcycle can be purchased at the dealership for $1,800. Since Julian doesn’t have $1,200 and Tom does not accept credit cards, they both think a cash advance might be a good idea. Julian’s credit card company can offer him a cash advance for the $1,200 he needs at an interest rate of 26%. He would then pay off the balance in 24 months. Should Julian use the cash advance to purchase the motorcycle?
a.
No. Julian would be paying too much in interest to warrant using a cash advance.
b.
Yes. Even with the interest, the total cost of the motorcycle would be less than at the dealership.
c.
Yes. The interest rate on the cash advance is low. Julian will not have to pay much interest on the cash advance.
d.
No. The high interest rate on the cash advance would make the purchase of the motorcycle almost twice than the price at the dealership.

Answers

Answer 1

Answer:

we know that

$26\%= (26)/(100) =0.26$

the total cost of the motorcycle with Julian's credit card company is equal to

$(1+0.26)*\$1,200= \$1,512$

the cost of the motorcycle at the dealership is $\$1,800$

$\$1,512 < \$1,800$

therefore

the answer is the option B

Yes. Even with the interest, the total cost of the motorcycle would be less than at the dealership

Answer 2

Answer: I would say that it is a good deal because if we assume that the problem is about simple interest, then Julian will pay 50 per month times 26% of that. If we add up all the sums,, Julian will pay 1200 + a total interest 312 at the end of 24 months. This totals 1512 which is still cheaper than paying 1800 for a bike in the store.

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Benone would finish mower garden in 8 hours. Pandele would finish in 10 hours mowing same garden. How long would finish mower garden together?

Answers

$Benone-(1)/(8)\ mower\ garden\ per\ hour\n\nPandele-(1)/(10)\ mower\ garden\ per\ hour\n\n(1)/(8)+(1)/(10)=(*)\n\nfind\ LCD((1)/(8);\ (1)/(10))\n\nList\ of\ the\ multiples\ of\ 8:0;\ 8;\ 16;\ 24;\ 32;\ \boxed{40};\ 48;...\nList\ of\ the\ multiples\ of\ 10:0;\ 10;\ 20;\ 30;\ \boxed{40};\ 50;\ ...\n\nLCD((1)/(8);\ (1)/(10))=40\n\n(1)/(8)=(1\cdot5)/(8\cdot5)=(5)/(40);\ (1)/(10)=(1\cdot4)/(10\cdot4)=(4)/(40)$

$(*)=(5)/(40)+(4)/(40)=(9)/(40)-together\ per\ hour$

$t-time\ when\ together\ finish\ the\ garden\n\n(9)/(40)\cdot t=1\ \ \ \ \ \ |multiply\ both\ sides\ by\ (40)/(9)\n\n\boxed{t=(40)/(9)\ (h)=4(4)/(9)\ h=4h+(4)/(9)h=4h+(4)/(9)h=4h+(4)/(9)\cdot60\ min\approx4h27min}$

In 1 hour, Benone _ _ _ g / 8 ;
In 1 hour, Pandele _ _ _ g / 10 ;
= = = = = = = = = = = = = = = = =
In 1 hour, Benone and Pandele _ _ _ g / 8 + g / 10 = 5g / 40 + 4g / 40 = 9g / 40;
Benone and Pandele would finish garden together in 40 / 9 hours = 4 hours 26 minutes 40 seconds;

What is the sum of the geometric series in which a1 = 4, r = 2, and an = 512?Answer choices:
A) Sn=1,020
B)-252
C)43,690
D)-1,020

Answers

Geometric series is a series of numbers where the ratios of successive terms are the same. To answer this problem, the information that we need to know are the first first term, the number of terms and the ratio of any successive terms. First we get the number of terms by the equation:
an= a1(r)^(n-1) solve for n, which results to 8.
Then the sum is computed by the equation:
Sn = a1(((r)^n)-1)/(r-1))
The answer is then A 1,020

What is y=6x-4 in standard form

Answers

Answer:

6x-y=4 in standard form.

Step-by-step explanation:

Answer:

-6x+y=-4

Step-by-step explanation:

subtract 6x from both sides

Simplify.
3/3-n - n/n-3

Answers

$(3)/(3-n)- (n)/(n-3)= (3)/(3-n)-(- (n)/(3-n))= (3)/(3-n)+(n)/(3-n)= (3+n)/(3-n)$

A room is 45 m x 15 m. What is the least number of rectangle tiles required to pave the floor of the room, if each tile is 50 cm x 1m?

Answers

Hey Batala426,

If the room is 45m x 15m, then the total area is 675 metres squared.
Each tile is 50cm x 1m, so the area of each one is 0.5 metres squared.

675 / 0.5 = 1350

So the least number of tiles you need to pave the whole room is 1350 tiles.

Hope this helps!

Chen :D

Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 1 0.1 0.01 0.001

Answers

Answer:

common ratio for the given sequence is 0.1

Step-by-step explanation:

Common ratio(r) defined as the ratio of term to the previous term.

Given the sequence:

0.1, 0.01, 0.001, ...

$a_1 = 0.1$

$a_2 = 0.01$

$a_3 = 0.001$ ......

by definition of common difference;

$r = (a_2)/(a_1)=(a_3)/(a_2).....$

Substitute the given values we have;

$r = (0.01)/(0.1)=(0.001)/(0.01).....$

Simplify:

$r = 0.1$

Therefore, the common ratio for the given sequence is 0.1

The common ratio is 0.10

0.1 x 0.1 = 0.01
0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10
common ratio = 0.001/0.01 = 0.10

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