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2 years ago

2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,

Mathematics

1 answer:

Oxana [17]2 years ago

5 0

Answer:

Interest earned: $150.85

Total amount: $850.86

Step-by-step explanation:

Y=700(1.05)^4

Put the right side of the equation into a calculator and get

850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85

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What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

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3 years ago

Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?

zysi [14]

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

8 0

2 years ago

Read 2 more answers

Y = 3x <br><img src="https://tex.z-dn.net/?f=y%20%3D3x%20%7B%7D%5E%7B2%7D%20%20%2B%209x%20%2B%206" id="TexFormula1" title="y =3x

Alchen [17]

Comment if you want me to give you the step by step thank you

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2 years ago

5/6-3/8=please help me

Yakvenalex [24]

$\frac{5}{6}-\frac{3}{8}=\\
\frac{20}{24}-\frac{9}{24}=\\
\frac{11}{24}$

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3 years ago

My sister needs help with #10

vaieri [72.5K]

Answer:

182

Step-by-step explanation:

The correct answer is 182 because to figure out the total we needed to multiply the 2 sides, a quicker way instead of counting. To do this you needed to multiply 13 times 14 and you would get 182!

Hope this helped!

Please mark as best answer if right!

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2 years ago