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1 year ago

Lewis was driving at 90 km per hour when he sneezed.

Mathematics

1 answer:

Maksim231197 [3]1 year ago

5 0

Answer:

12.5 m

Step-by-step explanation:

recall that 1 km = 1000 m

hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr

also recall that 1 hour = 60 x 60 = 3600 s

hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.

given that is eyes were closed for 0.5 s.

in 0.5s, he travelled :

0.5s x 25 m/s = 12.5 m

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What algebraic expression could represent the average of 2x, x + 3, and 6x?

Gre4nikov [31]

Answer:

(5x = 2 = 3 +8a

Step-by-step explanation:

8 0

2 years ago

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Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly

damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

$M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $40,000

Rate r= 4% compounded monthly

$i=\frac{4}{100}=0.04$

Time = 10 years

$n=10\times12=120$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.04)^{-120}}{0.04}$

$D=\frac{1-(1.04)^{-120}}{0.04}$

$D=\frac{1-0.00903}{0.04}$

$D=\frac{0.9909}{0.04}$

$D=24.7725$

$M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{40000}{24.7725}$

$M=1614.69$

Half of the monthly payment is $807.345

Payment for 10 years is $807.345\times 120=96881.4$

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

3 0

2 years ago

Read 2 more answers

2 1/3 −1.5x=12.3 please help me I'm really struggling need an answer ASAP.

Harrizon [31]

Answer:

-6.64

Step-by-step explanation:

since you need to find the value of x , but all values to one side and have x on the other .. meaning :

2 1/3 -12.3 = 1.5x

now that you have this find the decimal value of 2 1/3

which is 2*3 +1 = 7/3

in decimal form is 2.33333...

now subtract (2.3333.. - 12.3 ) / 1.5

x = -6.6444

to 3 sf = -6.64

7 0

2 years ago

Can some one please please help me? solve for x 5 /7x + 1/7 =63 enter your answer in the box below.

Soloha48 [4]

This is confusing but I think yo umean
$\frac{x+5}{7x} + \frac{1}{7} =63$
times both sides by 7x
x+5+x=441x
2x+5=441x
minus 5 both sides
2x=436
divide both sides by 2
x=218

4 0

1 year ago

A scientist makes spherical magnets. Each magnet has a radius of 1.02 cm. They are stored away in boxes of 250. Calculate the vo

Mrac [35]

Answer:

The volume of 250 magnets is 625cm³

Step-by-step explanation:

We know that the formula to calculate the volume of a sphere is

v = 3/4 * π * r³

π = 3.14

r = 1.02cm

we replace the values and calculate the volume of a sphere

v = 3/4 * 3.14 * (1.02cm)³

v = 3/4 * 3.14 * 1.061208cm³

v = 2.49914484cm³

to calculate the volume of 250 spheres we simply multiply by 250

250 * 2.49914484cm³ = 624.78621

if we round to the nearest cubic cm

624.78621cm³ = 625cm³

5 0

2 years ago