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svp [43]
3 years ago
13

Find the x and the measure of each angle

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Step-by-step explanation:

Hi there, hope this helps :)

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A stockbroker has money in three accounts. The interest rates on the three accounts are 10 % 10%, 11 % 11%, and 12 % 12%. If she
leva [86]

Answer: he invested $200 at 10%, $400 at 11% and $600 at 12%

Step-by-step explanation:

Let x represent the amount invested in the account earning 10% interest.

Let y represent the amount invested in the account earning 11% interest.

Let z represent the amount invested in the account earning 12% interest.

If she has twice as much money invested at 11 % as she does in 10 %, it means that

y = 2x

If she has three times as much at

12 % as she has at 10 %, it means that

z = 3x

The interest from the first account is

x × 0.1 × 1 = 0.1x

The interest from the second account is

y × 0.11 × 1 = 0.11y

The interest from the third account is

z × 0.12 × 1 = 0.12z

If the total interest for the year is $136, it means that

0.1x + 0.11y + 0.12z = 136 - - - - - - - - 1

Substituting y = 2x and z = 3x into equation 1, it becomes

0.1x + 0.11(2x) + 0.12(3x) = 136

0.1x + 0.22x + 0.36x = 136

0.68x = 136

x = 136/0.68 = 200

y = 2x = 2 × 200

y = $400

z = 3x = 3 × 200

z = $600

4 0
3 years ago
Help please hurry need help
Misha Larkins [42]

Answer:

1: D

2: B

3: y=-4x+22

4: y=-8x+26

Step-by-step explanation:

1: Parallel lines have the same slope, and the only one with a slope of 3x is D

2: Perpendicular lines have an opposite slope, so a line with a slope of -1/2 would be 2, so you just flip the number and add or take away a negative sign, depending on the original slope

3: Like I said before, perpendicular lines have an opposite slope, so the slope would be -4. After you've figured that out, you just plug in the numbers given to you (and remember, x is first, y is last)

Plug in: 6=-4(4)+b

You would then solve for b.

6=-16+b

22=b

Then plug that into y=mx+b, with m being the slope (-4) and b being the y intercept (22)

4: The process for finding parallel and perpendicular lines is very similar, except you don't have to change the slope.

Plug in: 10=-8(2)-b

10=-16+b

26=b

Again, plug that into the equation y=mx+b

Hope I could be of help! Sorry if it doesn't make sense, this is my first time on this website.

5 0
3 years ago
How to solve 2d-e=7 d+e=5
loris [4]
<span>2d – e = 7 </span>
<span>d + e = 5 </span>

<span>3d=12 </span>

<span>d=4 </span>


8 0
3 years ago
I need help someone help me​
Dennis_Churaev [7]

Answer: 42 pop tunes

Step-by-step explanation:

35/5=7

6*7=42

5 0
3 years ago
Read 2 more answers
List these numbers from least to greatest:<br><br> -1 2/5, 0, -2.3, 3/4, and<br> -1 9/10
kap26 [50]

Answer:

-2.3, -1 9/10, -1 2/5, 0, 3/4.

Step-by-step explanation:

First thing we need to do is express all of the fractions and the decimal in the same unit.

Let's turn the decimal into a fraction.

-2.3 = -2 3/10. The 3 is in the tenths place, so that means 3 over 10 or 3/10. The 2 is in the ones place so we get the 2 as a whole number.

Okay, now we need to express the fractions with the same denominator. You MUST do this if you are going to compare fractions.

First,

let's turn all the mixed numbers into improper fractions.

-1 2/5 = -7/5

-2 3/10 = -23/10

-1 9/10 = -19/10.

The last 2 already have the same denominator of 10, so we'll just change the -7/5 to have a denominator of 10. 5 x 2 equals 10, so we MUST also multiply by the numerator by 2. Whatever is done to the denominator has to be done to the numerator as well.

5 x 2 = 10

7 x 2 = 14.

Now, here is what we have.

-14/10, 0, -23/10, 3/4, -19/10.

First, know that negative numbers are ALWAYS SMALLER than zero and ANY positive number.

And, with negative numbers, the number that looks "greater" is actually lesser. For example, -5 is greater than -3 because -3 is closer to 0.

So, let's compare the negative fractions.

-14/10, -23/10, -19/10.

Ignoring the (-) the one that *looks* greatest is 23 because it has the greatest number in the numerator, however, because this is negative numbers, it's actually the smallest.

Second "biggest" is -19/10 but again, this is negatives, so its actually second smallest.

The only number now is -14/10 so that's the next smallest.

0 is obviously less than 3/4 so 0 comes next. And lastly, 3/4 is the only number we have left! so, 3/4 is the greatest!

LEAST TO GREATEST:

-2.3, -1 9/10, -1 2/5, 0, 3/4.

6 0
3 years ago
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