Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $230 in a savings account that offers a 3% return on the investment. The value of David's investment will be at least $415 after a period of years. Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.

Answer:

3 is $8 and 14 is about 18%

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

since the annual rate is 2% and you wait 6 months which is half a year

you'd get 1% of 800 so it'd be 8.

Answer:

n=10

Step-by-step explanation:

6=3n/5

multiply both sides by 5

30=3n

divide both sides 3

10=n

The limit of the expression [tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]a s x approaches 3 is -1/2

The expression is given as:

[tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]

As the variable x approaches 3, the limit is represented as:

[tex]\lim_{x \to 3} f(x)[/tex]

So, we have:

[tex]\lim_{x \to 3} = \frac{3^2 - 12}{3^2 - 3}[/tex]

Evaluate the exponents

[tex]\lim_{x \to 3} = \frac{-3}{6}[/tex]

Evaluate the quotient

[tex]\lim_{x \to 3} = -\frac{1}{2}[/tex]

Hence, the limit of the expression as x approaches 3 is -1/2

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Answer:

B. 7/3

Step-by-step explanation:

Took the final test and this was the correct answer

Answer:

.0006

Step-by-step explanation:

I'm not sure if this is correct.. sorry if this is wrong.. :(

Answer: ∠BAC = 70°

Step-by-step explanation:

    We will use the "Exterior Angle Property" which states that an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

   This means that (6a) + (7a) = 130° which we can solve.

(6a) + (7a) = 130°

13a = 130

a = 10°

    Now that we have the value of a, we can solve for the angle BAC.

7a

7(10)

70°

The Probability of that more than 7 of them germinate is 0.2948.

We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.

The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.

The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.

The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268  = 0.268 = 26.8%.

The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.

Thus, The Probability of that more than 7 of them germinate is 0.2948.

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Answer:

Step-by-step explanation:

   [tex]\boxed{Mean = \dfrac{Sum \ of \ all \ data}{number \ of data}}[/tex]

              [tex]\sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875[/tex]

Arrange the numbers in ascending order.

  176 , 195 , 212 , 234 , 236 , 243 , 247, 248  

Number of data is even. So, median will be the average of 234 and 236

Median = average of the middle two terms.

            [tex]\sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235[/tex]

Mode is the data which is occurring more number of times.

Range = maximum - minimum

           = 248 - 176

            = 72

Answer:

6.6 ft

Step-by-step explanation:

The area of a triangle is given by the formula: [tex]A=\frac{1}{2}bh[/tex].

In this case, the base b equals the height h.

[tex]\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}[/tex]

Given: A = 22 ft²

[tex]\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}[/tex]

Answer:

0.16

Step-by-step explanation:

AND = Probability(of 1)*Probability(of 2)

OR = Probability(of 1)+Probability(of 2)

probability of spinning red = 0.2 or 20%

probability of NOT spinning red = 0.8 or 80%

The question says "AND" so 0.2 * 0.8 = 0.16 or 16%

Hope this helps!!!

Please mark as brainliest!!!

Answer:

[tex] \: \: \pink{\bold{\underline{\underline{ ☛explanation}}}}[/tex]

.

lmile=5280 feet 50 0.6mile =3168 feet

#WOULD have helped

#CARRY ON LEARNING

#BRAIN-LIEST

correct my answer in case it is wrong

Answer:

The median number of shoes for the girls is greater than the median number of shoes for the boys.

Answer:

The answer is y=4x-2

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

I used a bunch of formulas that would clog this page, so I can't put them down.  Sorry if it's wrong

Answer:

Step-by-step explanation:

I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)

With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.

From the bird to the water it is 150 feet, from water to fish is 100 feet

From the bird to the fish it is 150 feet + 100 feet

so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).

Answer:

x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)

Step-by-step explanation:

^^^
See answer, pretty simple.

So

equation

So equation

Answer:

missing number its 9

Step-by-step explanation:

Ti find the answer you divide 99 by 11 and you find your answer

Answer:

$4,273.50

Step-by-step explanation:

Multiplying the total sale amount by 55% commission :

Answer:

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

1 / r^42 ( in fractional form )

Step-by-step explanation:

( r^-7 )^6

Formula : -

( a^m )^n = a^( mn )

Here,

a = r

m = - 7

r = 6

mn

= - 7 * 6

= - 42

Hence,

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

( r^-7 )^6 = 1 / r^42 ( in fractional form )

Answer:

4 fish in each tank.

Step-by-step explanation:

20/5 = 4

Answer:

Using arrangements with repetitions, it is found that they can be grouped in 46,200 ways.

What is the arrangements formula?

Step-by-step explanation:

Answer:

because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2

Answer: d = 11 bc 26 - 15 would equal 11

Work Shown:

3 1/2 inches = 3.5 inches

total width = 28*3.5 = 98 inches

The required total width of 28 2 - by -4s laid side by side is 98 inches.

Given,
The width of a 2-by-4 piece of wood is actually 3 1/2 inches. to determine the total width of 28 2-by-4s laid side by side.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The width of a 2-by-4 piece of wood is actually 3 1/2 inches.
Now, the width of 28 2-by-4 woods laid side by side,
= 28 * 3 1 / 2
= 28 * 7 / 2
= 98

Thus, the required total width of 28 2 - by -4s laid side by side is 98 inches.

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Answer:

option 1, 2

Step-by-step explanation:

since R is between Q and S

____________________

Q    (3x+6)     R    (5x-2)    S

--------------(12x - 4)-------------

Q                                       S

so

QR + RS = QS

[tex](3x+6) + (5x - 2) = 12x - 4\\(3x + 5x) + (6 - 2) = 12x - 4\\(8x) + (4) = 12x - 4\\8x + 4 - 4 = 12x - 4 -4\\8x = 12x - 8\\8x - 12x = 12x - 12x - 8\\-4x = -8\\\frac{-4x}{-4} = \frac{-8}{-4}[/tex]

Answer:

2

Step-by-step explanation:

It mentions R is between points Q and S.

Hence, QR + RS = QS.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given sequence is in Arithmetic progression, and we have to find its nth term ~

So, let's get it solved ~

First term of the sequence is :

Common difference is :

Now, if we have to write the 2nd Term with respect to first one, we can write :

similarly ~

Therefore, I similar pattern ~

[tex] \qquad \sf  \dashrightarrow \: nth \: term = a + (n - 1)d[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2 + (n - 1)2[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2(1 + (n - 1))[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2(1 + n - 1)[/tex]

[tex] \qquad \sf  \dashrightarrow \: nth \: term = 2 n [/tex]

Feel free to ask your doubts, if you have any ~

Answer:

Step-by-step explanation:

from the number sequence above, each term except the first is generated by adding 2 to the term immediately preceding it.

the nth term of the sequence is usually designated Tn, and it's usually a function of n

from the number sequence

T1= 2

T2 = 2+2= 4

T3= 4+2= 6

T4= 6+2= 8

therefore, Tn= 2+2×(n-1)

= 2+2n-2

=2-2+2n= 2n

Answer:

15

Step-by-step explanation:

[tex]3 \times \frac{5}{6} = \frac{15}{6} = 15 \times \frac{1}{6} [/tex]

Answer:

Step-by-step explanation:

v(x)=12-2x-5

v(-2)=12-2(-2)-5

      =11

v(0)=12-2(0)-5

     =7

v(5)=12-2(5)-5

     =-3