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V125BC [204]
2 years ago
15

If you bought a stock last year for a price of 103$ and it has risen 13.5% since then, how much is the stock worth now, to the n

earest cent?​
Mathematics
1 answer:
DIA [1.3K]2 years ago
7 0

Answer:

$90.75

Step-by-step explanation:

103*100=(13.5%+100%)*x

10300=113.5x

x=10300/113.5

x=90.74889868

x=$90.75

You might be interested in
The answer is 35 degrees, but I am unsure of the process in order to get to that answer.
hammer [34]

Answer:

Step-by-step explanation:

Hello There!

So first things first

we need to find the measure of ∠ABD

If you didn´t know the sum of the triangle angles is 180

so to find ∠ABD we subtract the given angles ( 30 and 25) from 180

180-25-30=125

so angle ∠125

Now lets find ∠DBC

∠ABD and ∠ DBC are supplementary angles so the sum of the two angles is 180

So to find ∠DBC we subtract 125 from 180

180-125=55

so ∠DBC = 55

Now we can find the measure of ∠BDC

remember like stated before the sum of all of the angles in a triangle is 180

So to find the measure of ∠BDC we subtract the given angles from 180

180-90-55=35

so we could conclude that ∠BDC = 35

Other ways to solve for ∠DBC:

angle DBC is an exterior angle of ΔABD

the measure of an exterior angle is equal to the sum of the opposite interior angles

so basically ∠DBC = ∠ADB + ∠BAD

30+25=55 so ∠DBC = 55

Other ways to find angle BDC:

Having found the measure of ∠DBA and the other opposite angle we could find ∠BDC

Like stated before the measure of an exterior angle is equal to the sum of the opposite interior angles

basically ∠DBA = ∠BDC + ∠BCA

we have the measures of ∠BCA and ∠DBA so we plug in the values

125=∠BDC+90

isolate the variable by subtracting each side by 90

125-90=35

we´re left with

∠BDC=35

I hope this helps and if you have anymore questions, feel free to ask! :)

4 0
3 years ago
Read 2 more answers
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 cup of sugar. How many wh
ZanzabumX [31]

Answer:

a) 9 whole batches can be made

b) The cost of sugar for each batch = $0.26

Step-by-step explanation:

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.

This means:

2 pound bag of sugar = 227 teaspoon servings

2 pounds bag of sugar cost $2.49

We are told that:

A batch of muffins uses 1/2 cup of sugar.

a).How many whole batches can you make if you use as much of the sugar as possible?

(1 cup = 48 teaspoons)

Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2

= 24 teaspoons of sugar

Hence:

24 teaspoons of sugar = 1 batch of muffins

227 teaspoons of sugar = x

Cross Multiply

24 × x = 1 × 227

x = 227/24

x = 9.4583333333 batches of muffins

We are asked to name the number of whole batches that can be made.

Therefore, 9 whole batches of muffins can be made

b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Since we are not to consider the leftover sugar in the cost calculation,

1 batch = 24 teaspoons of sugar

9 whole batches =

9 × 24 teaspoons = 216 teaspoons of sugar was used

The left over = 227 - 216 = 11 teaspoons of sugar is left

We know that:

227 teaspoons of sugar = $2.49

216 teaspoons of sugar = x

Cross Multiply

= 216 × $2.49/227

= $2.369339207

24 teaspoons of sugar = 1 batch of muffins

Therefore,

216 teaspoons of sugar =

$2.369339207

24 teaspoons of sugar =

24 × $2.369339207/ 216

= $0.2632599119

Approximately = $0.26

Therefore, the cost of sugar for each batch = $0.26

8 0
3 years ago
I forgot how to solve this question <br> 7x +9=58
daser333 [38]
Minus 9 from both sides

7x = 49

X = 7
6 0
3 years ago
Read 2 more answers
Which expression is the same as 6 times 52?
Blizzard [7]

Answer:

B

Step-by-step explanation:

6 times 50 = 300

6 times 2 = 12

300 + 12 = 312

6 times 52 = 312

4 0
3 years ago
Read 2 more answers
Your math grade is a 68%.You turn in some late work, and now your grade is an 82%.What is the percent change?
Alex

Answer:

your grade increased by 14%

7 0
2 years ago
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