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3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

x=180°-(102°+43°)=180°-145°=35°

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A newspaper editor starts a retirement savings plan in which $225 per month is deposited at the beginning of each month into an

qwelly [4]

Answer: the value of this investment after 20 years is $112295.2

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

Since there are 12 months in a year, then

r = 0.066/12 = 0.0055

n = 12 × 20 = 240

R = $225

Therefore,

S = 225[{(1 + 0.0055)^240 - 1)}/0.0055][1 + 0.0055]

S = 225[{(1.0055)^240 - 1)}/0.0055][1.0055]

S = 225[{(3.73 - 1)}/0.0055][1.0055]

S = 225[{(2.73)}/0.0055][1.0055]

S = 225[496.36][1.0055]

S = $112295.2

7 0

3 years ago

Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels

GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

$\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}$

Cross multiply

$350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200$

Divide both sides by 210

$\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph$

4 0

3 years ago

Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her e

Leto [7]

Answer:

I think the answer is 1,466.50

8 0

3 years ago

Two friends store 3 cereal bors equally. How many cored bors each person get? Show your work Write an equation & solution: E

maria [59]

Answer:

1 $\frac{1}{2}$

Step-by-step explanation:

There are a total of 2 friends, if they have 3 cereal bars and want to split it equally then we simply need to divide the number of cereal bars by the number of friends which would give us the number of cereal bars that each individual will get, which will be represented by x

x = 3 / 2

x = 1 $\frac{1}{2}$

Finally, we can see that each friend will get a total of 1 and a half of a cereal bar.

7 0

2 years ago

Y=4+3x <br>2x+1=y<br>What Is The Point Of Intersection?

nlexa [21]

Y = 4+3x
2x+1 = y

Rewrite as two systems of equations.

3x - y = -4
2x - y = -1

Now use the substitution method to find the point of intersection.

You can also graph both equations on the same xy-plane using your graphing calculator to find the desired point.

7 0

3 years ago