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AysviL [449]
3 years ago
6

Stefanie swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Stefanie sw

im in the morning than in the evening?
Mathematics
1 answer:
ddd [48]3 years ago
4 0
Stefanie swam 1/3 further in the morning.
4/5 - 7/15
12/15 - 7/15 = 5/15
5/15 = 1/3
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Deposits $10 in an account that earns an interest rate of 5% compounded annually. What is the balance in the account at the end
d1i1m1o1n [39]
<span>Compound Interest is calculated on the initial payment and also on the interest of previous periods.

So after 1 year w/ 5% interest, $10 -> $10*1.05 = $10.5
after 2 year, the total becomes $10.5*1.05 = $11.025

formula to calculate is 10*(1.05)^50 = $114.67

ans is A</span>
8 0
3 years ago
OMG it's late please help!!!
s2008m [1.1K]

Answer:

Step-by-step explanation:

6X6 is 36 so it is increasing

8 0
3 years ago
Read 2 more answers
If f(x)=3x+1 and g(x)=1x what is the value of (f-g)(2)
Lyrx [107]

f(x) 3x+1

g(x) 1x

f(1x) = 3(1x)+1

f = 3x+1

g(3x+1) = 1(3x+1)

g = 3x+1

6 0
3 years ago
Find the volume of a regular hexahedron if one of the diagonals of its faces is 8 root 2 inches.
Naily [24]
The answer is 114sqrt{6} in³

A regular hexahedron is actually a cube. 

Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²

Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²

D² = f² + a²
f² = 2a²

D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3

Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3

V = a³ = (D/√3)³

We have:
D = 8√2 in

V= (\frac{D}{ \sqrt{3} } )^{3} =( \frac{8 \sqrt{2} }{ \sqrt{3} } )^{3}=( \frac{8 \sqrt{2} * \sqrt{3} }{ \sqrt{3}* \sqrt{3}} )^{3} =( \frac{8 \sqrt{2*3} }{ \sqrt{3*3}} )^{3} =( \frac{8 \sqrt{6} }{ \sqrt{3^{2} }} )^{3} =( \frac{8 \sqrt{6} }{ 3} )^{3} = \\ \\ = \frac{ 8^{3} *( \sqrt{6} )^{3}}{3^{3}} = \frac{512* \sqrt{6 ^{2} }* \sqrt{6} }{27} = \frac{512*6* \sqrt{6} }{27} = 114sqrt{6}
8 0
3 years ago
5-7k=-4(k+1)-3 add work pleasee!!!
marshall27 [118]

Answer:

k=4

Step-by-step explanation:

5-7k=-4(k+1)-3

Distribute

5-7k=-4k-4-3

Combine like terms

5-7k=-4k-7

Add 7k to each side

5-7k +7k = -4k+7k-7

5 = 3k-7

Add 7 to each side

5+7 = 3k-7+7

12 = 3k

Divide by 3

12/3 = 3k/3

4=k

3 0
2 years ago
Read 2 more answers
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