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Tanya [424]
2 years ago
13

NEED ANSWER QUICKLY PLEASE

Mathematics
1 answer:
Sliva [168]2 years ago
6 0
(3x -11) + 44 + (4x-7) = 180

3x - 11 + 44 + 4x - 7 = 180 like terms

7x +26 = 180

7x = 154

X = 22

Angle 1
3(22) -11
55
Angle 2
4(22) -7
81
So the largest angle is 81 degrees!

Hope this helps!
Brainliest is much appreciated!
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Help plz and thank you I would appreciate it
AURORKA [14]

Answer:

Positive Slope

Step-by-step explanation:

The slope is going up Right

3 0
4 years ago
Read 2 more answers
Assignment: Compound Interest Investigation
sukhopar [10]
<span>To help Tyler better understand how his money will increase in an account that uses simple interest and one that uses compound interest, we are going to use two formulas: a simple interest formula for the accounts that use simple interest, and a compound interest formula for the accounts that use compound interest.
- Simple interest formula: </span>A=P(1+rt)
where:
A is the final investment value 
P is the initial investment 
r is the interest rate in decimal form 
t is number of years
- Compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where: 
A is the final investment value 
P is the initial investment 
r is the interest rate in decimal form
t is he number of years 
n is the number of times the interest is compounded per year

<span>1. 
a. This is a compound interest account, so we are going to use our compound interest formula. We now that </span>P=1500, t=5, and since the interest is compounded annually (1 time a year), n=1. To find the interest rate in decimal form, we are going to divide it by 100%: r= \frac{4}{100} =0.04. Now that we have all the values lets replace them in our compound interest formula:
A=1500(1+ \frac{0.04}{1}) ^{(1)(5)}
A=1824.98
<span>We can conclude that after 5 years he will have $1824.98 in this account.
b. Here we will use our simple interest formula. We know that </span>P=1500, t=5, and r= \frac{4}{100} =0.04. Lets replace those values in our simple interest formula:
A=1500(1+(0.04)(5))
A=1800
We can conclude that after 5 years he will have $1800 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is 1824.98-1800=24.98

2.
a. Here we are going to use our compound interest formula. We know that P=2000, t=1 and r= \frac{8}{100} =0.08. We also know that the interest is compounded Quaternary (4 times per year), so n=4. Now that we have all our values lets replace them into our formula:
A=2000(1+ \frac{0.08}{4} )^{(4)(1)}
A=2164.86
We can conclude that after 1 year he will have $2164.86 in this account.
b. Here we are going to use our simple interest formula. We know that P=2000, t=1, and r= \frac{8}{100} =0.08. Once again, lets replace those values in our formula:
A=2000(1+(0.08)(1))
A=2160
We can conclude that after 1 year he will have $2160 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is 2164.86-2160=4.86

3.
a. Since Bank A offers an account with a simple interest, we are going to use our simple interest formula. From the question we know that P=3200, t=3, and r= \frac{3.5}{100} =0.035. Now we can replace those values into our formula to get:
A=3200(1+(0.035)(3))
A=3536
Now, to find the interest earned for Bank A we are going to subtract P from A
InterestEarned=3536-3200=336
We can conclude that <span>the interest earned for Bank A is $336
b. 
</span>Since Bank B offers an account with a compound interest, we are going to use our compound interest formula. We know that P=3200, t=3, r= \frac{3.4}{100} =0.034, and since the interest is compounded annually (1 time a year), n=1. Now that we have all the values, lets replace them in our formula to get:
A=3200(1+ \frac{0.034}{1} )^{(1)(3)}
A=3537.62
Now, to find the interest earned for Bank A we are going to subtract P from A:
InterestEarned=3537.62-3200=337.62
We can conclude that the interest earned for Bank B is $337.62
c. Even tough the interest returns between the tow Banks are very similar, Bank B offers a slightly better interest over a period of time, which can make a big difference in the long run. If <span>Tyler wants the earn more money, he definitively should deposit his money in Bank B.
d. </span>The compound interest account from Bank B will yield more money than the simple account one from Bank A The difference between the tow amounts is 3537.62-3536=1.62
6 0
4 years ago
6 8<br> What is the determinant of K=<br> O -18<br> -8<br> O 10<br> O 18<br> ?
erik [133]

Answer:

A:-18

Step-by-step explanation:

Hopefully this helps!

3 0
3 years ago
△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt
Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

Hypotenuse=2\sqrt{17}

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

Hypotenuse^2=Base^2+Perpendicualar^2

△ABC is a right angle triangle and AC is hypotenuse, so

(2\sqrt{17})^2=(x)^2+(x+6)^2

68=x^2+x^2+12x+36            [\because (a+b)^2=a^2+2ab+b^2]

Subtract 68 from both sides.

0=2x^2+12x+36-68

0=2x^2+12x-32

0=2(x^2+6x-16)

Divide both sides by 2.

x^2+6x-16=0

Splitting the middle term, we get

x^2+8x-2x-16=0

x(x+8)-2(x+8)=0

(x+8)(x-2)=0

x=-8,2

Side cannot be negative, so x=2 only.

Now,

AC=x+6

AC=2+6

AC=8

Therefore, the length of AC is 8 units.

6 0
3 years ago
Harriest makes yo-yos. she needs 38 inches of string for each yo-yo. How many yo-yos can she make with 875 inches of string? How
Vika [28.1K]
Harriest would make 28 yoyos. She would have about one inch of string remaining
6 0
3 years ago
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