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astra-53 [7]
2 years ago
14

On January 1, 1970, Los deposited $1950 into a savings account paying 6.6% interest, compounded semiannually. If she hasn't made

any additional deposits or withdrawals since then, and if the interest rate has stayed the same, in what year did her balance hit $3900, according to the rule of 72?
Mathematics
2 answers:
Xelga [282]2 years ago
8 0

Answer: 1980

Step-by-step explanation:

rewona [7]2 years ago
5 0
T=72÷r
T=72÷6.6
T=10.9 years round your answer to get 11 years

The balance hits 3900 in
1,970+11 years=1,981
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Function f is shown below <br> f(-3) <br> f(4)<br> find x when f(x) = 5<br> find x when f(x)= -3
hjlf

Answer:

See below ~

Step-by-step explanation:

Based on the graph,

  1. <u>f(-3)</u>
  • f(-3) = 0

   2. <u>f(4)</u>

  • f(4) = -3

   3. <u>x when f(x) = 5</u>

  • f(x) = 5
  • x = 0

   4. <u>x when f(x) = -3</u>

  • f(x) = -3
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4 0
2 years ago
the length and width of a rectangle are consecutive even integers. the area of the rectangle is 80 square units. what are the le
nadya68 [22]
X(x + 2) = 120sq units 

<span>Set it equal to 0 </span>
<span>x^2 + 2x - 120 = 0 </span>

<span>factor </span>
<span>(x + 12)(x - 10) </span>

<span>For the shorter side: </span>
<span>x - 10 = 0 </span>
<span>x = 10 </span>

<span>Now that you have x, solve for the longer side which we said was represented by </span>
<span>x + 2 </span>
<span>10 + 2 = 12 </span>

<span>Proof </span>
<span>A = L x W </span>
<span>120 = 10 x 12 </span>
<span>120 = 120 </span>
<span>true </span>

<span>Our length is 12 and our width is 10</span>
7 0
3 years ago
A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to
Misha Larkins [42]

Answer:

The equation to determine the length is 4w+2w=48.

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = 48\ ft

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

l=2w  ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

2(l+w)=48 ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

2(2w+w)=48

Applying Distributive property we get;

2\times2w+2\times w=48\\\\4w+2w=48

Hence, The equation to determine the length is 4w+2w=48.

On Solving the above equation we get;

4w+2w=48\\\\6w=48

Dividing both side by 6 we get;

\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft

Now Substituting the value of 'w' in equation 1 we get;

l=2w=2\times8=16\ ft

Hence The Length of the exercise mat is 16 feet.

3 0
3 years ago
La empresa los manzanas exporta manzanas o varios paises del mundo, el lunes tiene que trasladar 300 cajones. Puede contratar ca
Mariulka [41]

Answer:

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

Step-by-step explanation:

<u>Dada la siguiente información:</u>

<u></u>

Cantidad de cajones= 300

Opción A:

Camiones con capacidad para 50 cajones que cobran 150 por viaje.

Cantidad de camiones= 300/50= 6

Opción B:

Camiones con capacidad de 60 cajones por 180 por viaje.

Cantidad de camiones= 300/60= 5

<u>Debemos calcular el costo total de cada opción y elegir la de menor costo.</u>

Costo total A= 150*6= $900

Costo total B=180*5= $900

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

5 0
2 years ago
Your employer pays 75% of your health insurance premium. If the annual premium is $2530, and you are paid weekly, how much is de
MAVERICK [17]
** Calculation is based on 52 weeks per year. 

\smile \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile

     \boxed {Annual \ Premium \ = \$2530}

Your employer is paying 75% of the Premium: 
     \boxed {75\% \ of \ \$2530 \ = \ 0.75 \times 2530\  = \ \$1897.50}

Amount you need to pay:
   \boxed { \$2530 - \$1897.50 = \$632.50}

Amount needed to be deducted weekly from paycheck:
   \boxed{ \$632.50 \div \ 52 = \$12.16}


\Bigg(     \boxed{ \boxed {Ans: \$12.16 }} \Bigg)
5 0
3 years ago
Read 2 more answers
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