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netineya [11]
3 years ago
8

Y=4x+5 has a gradient of 4. What is the equation of a line parallel to it?

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0
It is -3,-2 is<span> Y=4x+5</span>
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30PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Yuliya22 [10]

1)

a)

P = 1500, r = 4% = 0.04, n = 5

A = 1500 (1+0.04)^5= 1824.98

He shall have $1824.98 in his account after 5 years

b)

Here P = 1500 , r = 4% = 0.04, n = 5 but simple interest

So

I=PRn= 1500(.04)(5)=300

Interest = $300

Amount in his account after 5 years = 1500 + 300 = $1800

c)

First one shall yield a better income and by 1824.98-1800 = $24.98

2)

a)

P= $2000, r = 8% = 0.08 so quaterly = 0.08/4 = 0.02, n = 1 year

A = P(1+r)^{4n}  =2000(1+0.02)^4 =2164.86

There shall be $2164.86 after 1 year

b)

P = 2000, r= 8%=0.08 and n = 1 for simple interest

I=PRn = 2000(0.08)(1)=160

Amount after 1 year shall be 2000 + 160= $2160

c)

First option is a better option.

The difference is 2164.86 - 2160 = $4.86

3)

a)

Bank A

P= 3200, r = 3.5%= 0.035, n = 3 years for simple interest

I =3200(0.035)(3)=336

Interest earned in Bank A = $336

b)

Bank B

P = 3200, r = 3.4% = 0.034, n= 3

A= P(1+r)^n=3200(1+0.034)^3=3537.62

Interest earned = 3537.62 - 3200 = $337.62

c)

Tyler must choose Bank B as it fetches greater interest

d)

The difference in interest = 337.62 - 336 = $1.62


4 0
3 years ago
Car X and car Y traveled the same 80-mile route. If car X took 2 hours and car Y traveled at an average speed that was 50 percen
KiRa [710]

Answer:

Step-by-step explanation:

Both cars, X and Y travelled 80 miles each.

Speed = distance/time

If car X took 2 hours to travel 80 miles, it means that the speed at which car X travelled is

80/2 = 40 mph

If car Y traveled at an average speed that was 50 percent faster than the average speed of car X, it means that the speed at which car X travelled is

40 + 0.5 × 40 = 60 mph

Time = distance/speed

Therefore, time taken by car Y to travel 80 miles is

80/60 = 1.33 hours

7 0
3 years ago
Sloane kicked a soccer ball at a speed of 56 feet per second. If the ball never leaves the ground, then it can be represented by
aksik [14]

Answer:

Third option: t=3.5\ seconds

Step-by-step explanation:

Given the function:

 H(t)=-16t^2 +56t

 Since the ball never leaves the ground, you need to  substitute H(t)= 0 in the function in order to determine the time the soccer ball traveled:

0=-16t^2 +56t

Factorizing, you get:

0=-8t(2t-7)

Then:

0=-8t\\\\t=0\ seconds\\\\\\\\0=2t-7\\\\7=2t\\\\t=3.5\ seconds

Therefore the time the ball traveled was:

t=3.5\ seconds

3 0
3 years ago
Is -9,-5,-1,3,7, arithmetic,geometric or neither?
alisha [4.7K]

Answer:

Arithmetic.

Step-by-step explanation:

Geometric sequences have common ratios. Arithmetic sequences have common differences.

6 0
3 years ago
Read 2 more answers
Is 20/30 equivalent to 2/3​
kicyunya [14]

Answer:

Yes 20/30 is equivalent to 2/3

Step-by-step explanation:

Divide the fraction 20/30 by 10/10 to simply to 2/3

3 0
3 years ago
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