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sineoko [7]
3 years ago
8

Factor 10x^2+15x-70

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0
Take out the GCF
5(2x^2+3x-14)

Use slip and slide for the inner trinomial
x^2+3x-28
(x+7)(x-4)
(x+7/2)(x-4/2)
(2x+7)(x-2)

Final answer: 5(2x+7)(x-2)
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Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
3 years ago
Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
liubo4ka [24]

Answer:

10 weeks

Step-by-step explanation:

20x+50=250

First subtract 50 from both sides, which gives you 20x=200

then divide 20 from both sides which gives you x=10

3 0
3 years ago
1. A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equa
Andrei [34K]

Answer:

C.) 10c 1800+15c

Step-by-step explanation:

The cost of daily operation for the business is $1,800/day, and $10/cake made. To put this into an equation, put the expenses on one side and what you're trying to make a profit off of on the other. Then solve for c.  

7 0
3 years ago
7.8 as a mixed number in simplest form
Goryan [66]
7 4/5

( 7 and 4 fifths)
8 0
3 years ago
You are selling your product at a three-day event. Each day, there is a 60% chance that you will make money. What is the probabi
Novosadov [1.4K]

Answer:

The required probability = 0.144

Step-by-step explanation:

Since the probability of making money is 60%, then the probability of losing money will be 100-60% = 40%

Now the probability we want to calculate is the probability of making money in the first two days and losing money on the third day.

That would be;

P(making money) * P(making money) * P(losing money)

Kindly recollect;

P(making money) = 60% = 60/100 = 0.6

P(losing money) = 40% = 40/100 = 0.4

The probability we want to calculate is thus;

0.6 * 0.6 * 0.4 = 0.144

5 0
4 years ago
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