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Lostsunrise [7]
4 years ago
6

Herky and Elaina want to compare their investment accounts to see how much they will have in the accounts after eight years. The

y substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Herky $500 5% 8 Once a year Elaina $400 6% 8 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Herky: A = 500 (1 + 0.08) Superscript 5, Elaina: A = 400 (1 + 0.08) Superscript 6 Herky: A = (500 times 1) + (0.05) Superscript 8, Elaina: A = (400 times 1) + (0.06) Superscript 8 Herky: A = 500 (1 + 0.05) Superscript 8, Elaina: A = 400 (1 + 0.06) Superscript 8 Herky: A = (500 times 1) + (0.05) Superscript 8, Elaina: A = (400 times 1) + (0.05) Superscript 8
Mathematics
2 answers:
bulgar [2K]4 years ago
7 0

Answer:

I think the answer is the third option. Hope this helps.

Step-by-step explanation:

alexira [117]4 years ago
5 0

Answer:

the answer is c

Step-by-step explanation:

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Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (3, 1, 0) and perpendicu
iren2701 [21]

Answer with Step-by-step explanation:

We are given that a point (3,1,0)

Two vectors are

A=<1,1,0>

B=<0,1,1>

A\times B=\begin{vmatrix}i&j&k\\1&1&0\\0&1&1\end{vmatrix}

A\times B=i-j+k

Let v=A\times B=i-j+k

v==

r_0==

r=r_0+vt

Substitute the values then we get

r=+t

r=

The parametric equation of the line

x=x_0+at,y=y_0+bt,z=z_0+ct

Using the formula

The parametric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

x=3+t,y=1-t,z=t

The symmetric equation of the line is given by

\frac{x-x_0}{a}=\frac{y-y_0}{b}=\frac{z-z_0}{c}

Using the formula

The symmetric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

\frac{x-3}{1}=\frac{y-1}{-1}=z

8 0
4 years ago
If a rectangle is r feet long and s feet​ wide, which expression represents the length of its diagonal in terms of r and​ s? A r
riadik2000 [5.3K]

The length of its diagonal in terms of r and​ s is √r² + s²

In order to get the length of the diagonal of a triangle, we will use the Pythagoras theorem:

Pythagoras theorem states that the sum of the square of the diagonal is equal to the sum of the square of the other two sides.

Given the following

Length = r feet

width = s feet

The diagonal "l" will be expressed as;

l² = r² + s²

Take the square root of both sides

√l² = √r² + s²

l = √r² + s²

Hence the length of its diagonal in terms of r and​ s is √r² + s²

Learn more here: brainly.com/question/11929455

8 0
3 years ago
Solve for x.<br> (2x+2)(3x+5)
tensa zangetsu [6.8K]

Answer:

x = -1            x = -5/3

Step-by-step explanation:

Assuming we want the zeros

(2x+2) (3x+5) =0

Using the zero product property

2x+2 = 0   3x+5 =0

2x = -2       3x = -5

x = -2/2      x = -5/3

x = -1            x = -5/3

4 0
3 years ago
Read 2 more answers
The width of a rectangle is one more than twice its length. If the rectangle's perimeter is 44 cm, then its length is ____ cm.
EleoNora [17]

Answer:

Part 1) The length is 7 cm

Part 2) The rate of return is r=11%

Step-by-step explanation:

Part 1)

Let

x ----> the length of rectangle

y ----> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(x+y)

P=44\ cm

so

44=2(x+y)

simplify

22=x+y -----> equation A

The width of a rectangle is one more than twice its length

so

y=2x+1 ----> equation B

substitute equation B in equation A

22=x+(2x+1)

solve for x

3x+1=22\\3x=21\\x=7

therefore

The length is 7 cm

Part 2)  we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=1\ year\\ P=\$1,100\\ I=\$121\\r=?

substitute in the formula above

121=1,100(r*1)

solve for r

121=1,100(r)

r=121/1,100\\r=0.11

Convert to percentage (Multiply by 100)

r=0.11*100=11\%

8 0
3 years ago
There are 12 rolls of film in a box, and 4 are defective. Two rolls are to be selected, one after the other, sampling without re
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The answer is
4/12
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3 years ago
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