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Volgvan
2 years ago
5

Two asteroids are 1000 km apart and are heading straight for each other. One asteroid is travelling at 59 km per second and the

other at 41 km per second. How long does it take for them to collide?
Mathematics
1 answer:
Nataliya [291]2 years ago
8 0

Answer:

10 seconds.

Step-by-step explanation:

The velocity at which they are approaching each other = 59 + 41 = 1000 km per second.

Velocity = distance  / time

So time =  distance / velocity

= 1000 / 100

= 10 seconds.

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Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974
Tcecarenko [31]
The interest means the amount that adds up to your previous capital that you invest in the past. If you invest an amount of money and get an interest revenue out of it, the amount of your capital will be increased, not decreased.
7 0
2 years ago
Allie has two cars- a truck and a sedan. Last week, she used 3 gallons of gas in the truck and 5 gallons of gas in the sedan and
gavmur [86]

Answer:

sedan = 26 miles/gallon

truck = 17 miles/gallon

Step-by-step explanation:

try to write the text in mathematical format as a system of equations

t=truck s=sedan

\left \{ {{3t+5s=181} \atop {7t+6s=275}} \right.

first equation can be written as

t= (181-5s)/3

we can use it in the second equation and rewrite it as

7[(181-5s)/3]+6s = 275

7(181/3 -5/3s) + 6s = 275

1267/3 - 35/3s + 6s = 275

-35/3s + 18/3s = 275-1267/3

-35/3s + 18/3s = 825/3 - 1267/3

-35s + 18s = 825 -1267

-17s = -442     s = 442/17 = 26 sedan has an average of 26 miles/gallon

we use this value of s in the first equation

3t + 5*26=181      3t=181-130   t= 51/3 = 17 truck has an average of 17 miles/gallon

5 0
2 years ago
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
saveliy_v [14]

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

7 0
2 years ago
Point M and N are midpoints of AB and DA respectively.
Fed [463]
<span>triangle CDN ≅ triangle CBM
</span><span>
Statement | Reason
line DC ≅ __BC___ | The sides of a square are congruent.
line BM ≅ __DN___ | They are both half the length of a side of the square.
angle __D___ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | 
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5 0
2 years ago
Which lines are parallel if M^4 +M^5? Justify your answer.
Igoryamba
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well. 

<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
4 0
2 years ago
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