Find the value of a.

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

Answer:

[tex]\frac{x-2}{5}[/tex]

Step-by-step explanation:

The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function is calculated as:-

y = 5 ( x - 2 )

Replace the variables with each other in the equation.

x = 5 ( y - 2 )

( x/5 ) = y - 2

y = ( x/5 ) + 2

Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

To know more about functions follow

https://brainly.com/question/2833285

#SPJ2

Answer:

The answer is Y=8.5+0.18x

Step-by-step explanation:

Given data

Let the flat fee be $8.5

Let the additional fee per ounce be $0.18

Let the total amount to mail the package be y

Therefore the total amount is

Y=8.5+0.18x

The function is Y=8.5+0.18x

Answer:

Your answer will be (-5,7).

Step-by-step explanation:

Answer:

(-7,5)

Step-by-step explanation:

Answer:

Y=0/0

Step-by-step explanation: since their is no fall or rise in the slope it is 0

Answer:

Velocity, Acceleration, Speed

Step-by-step explanation:

Answer:

i really have no clue what ur asking so i will solve this the way i know how to

Step-by-step explanation:

4x^2+12x+5

Answer: 7

Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.

The answer is 7. Hope this helps!

Answer:

sea level is 0 so it would be 7

Answer:

-15

Step-by-step explanation:

35+25=60

60-50=10

10-25=-15

Answer:

64

Step-by-step explanation:

Answer:

the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch

Answer:

S = 2w( 5w + 6h)

Step-by-step explanation:

given:

S = 2(lw + lh + wh)

if l = 5w, then we simply substitute this into the expression above.

S = 2[   lw   +   lh   +   wh  ]

S = 2[   (5w)w   +   (5w)h   +   wh  ]

S = 2[   5w²   +   5wh  +   wh  ]      

S = 2( 5w²   +   6wh)         simplify by factoring out w

S = 2w( 5w + 6h)

Answer:

y = 15 - 3.6x.

Step-by-step explanation:

The initial amount of fuel before cruising begins = 15,000 gallons.

The equation is  y = 15 - 3.6x where y is in thousands of gallons and x = number of hours.

$9,400 * 0.06 = $564

$564 + $160 = $724.00

Laura’s earnings for that week were $724.00.

Answer:  $604.00

Step-by-step explanation:

The other answers are paying commission on the whole amount of sales. The question says she earns 6% commission on all sales over $2,000. This would mean she earns commission on $7,400 ($9,400 - $2,000).

$7,400 X 0.06 = $444.00 in commission.

$444.00 + $160 (weekly pay) = $604.00 total earned

Unless I am missing something or just completely having a brain cluster...Please tell me if I am wrong...

Answer:

I'm not 100% sure if I did it right but I got x=1

Step-by-step explanation:

They are equal to each other cause it is an isosceles triangle

10x-3=5x+2

add the 3 to both sides

10x=5x+5

subtract the 5x from both sides

5x=5

divide the 5 from both sides

x=1

Answer:

The correct answer is x =55°

Answer:

e

Step-by-step explanation:

make 2 equations:

-equation 1: y+2>6

equation 2: -y-2>6

Then solve for each, and you will end up with -8>y>4

Answer:

You convert the fractions to a decimal, nut the rest is still the same

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

The axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We know the vertex form of the parabola is:

y = a(x - h)² + k

Given,

h = 3

k = 5

y = a(x - 3)² + 5

The axis of symmetry:

x - 3 =0

x = 3

Thus, the axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Answer:

Equals

Step-by-step explanation:

You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.

Answer:

1254.32

Step-by-step explanation:

add and subract

Answer:

[tex]100.5 = 100 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]100 + 50\% = 100 + \frac{50}{100} = 100 \frac{1}{2} = 100.5[/tex]

♨Rage♨

Answer:

h

Step-by-step explanation:

Answer:

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex] ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]

→ At first, divide simplify the coefficient of the variable

∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]

∵ 36 = 6 × 6 and 25 = 5 × 5

→ 6 and 5 repeated twice then the can go out the root one 6 and one 5

∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]

→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]

∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]

→ To cancel the root divide the power by 2

∵ -20 ÷ 2 = -10

∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]

→ To change the power of x from (-) to (+) reciprocal x

∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]

∴ The simplified form is  [tex]\frac{6}{5x^{10} }[/tex]

Answer:

y = 1/4 x - 5/4

Step-by-step explanation:

y = 4x + 5

Switch x and y.

x = 4y + 5

Solve for y.

4y = x - 5

y = 1/4 x - 5/4

The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]

The given function is:

y = 4x  +  5

To find the inverse of the given function y = 4x  +  5, follow the following steps:

Make x the subject of the formula:

[tex]y = 4x + 5\\\\4x = y - 5\\\\x = \frac{y}{4}-\frac{5}{4}[/tex]

Replace x by [tex]f^{-1}(x)[/tex] and replace y by x.

The resulting function represents the inverse of the function y = 4x  +  5

[tex]f^{-1}(x)=\frac{x}{4}-\frac{5}{4}[/tex]

Which can be further simplified as:

[tex]f^{-1}(x) = \frac{x-5}{4}[/tex]

The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]

Learn more here: https://brainly.com/question/12220962

Answer:217

Step-by-step explanation:

The first answer! jk will answer

The answer is 106.02, why? because CXP is virtually the same as SYD. Pls Brainliest! It would mean a lot! ;)

Answer:

I think it's C... Hi

Answer: 9.691x107

Simplifies to:

9.691x10000000

=9.691x10000000

Step-by-step explanation: haha hopes this helps!