Activity Give the exponential model for the following situation​

Activity Give The Exponential Model For The Following Situation

Answers

Answer 1

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!


Related Questions

(−m
2
+6)+(−4m
2
+7m+2)

Answers

Following are calculation to the given eqution:

Given:

[tex]\bold{(-m^2+6)+(-4m^2+7m+2)}[/tex]

To find:

Solve the equation.

Solution:

[tex]\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\[/tex]

Therefore, the final solution is "[tex]-1(5 m^2-7m-8)[/tex]".

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PLEASEEEE HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

36 and 45

Step-by-step explanation:

What’s the mean, variance and standard deviation

Answers

Answer:

Step-by-step explanation:

binomial distritubtion

mean= n*p

.23*300= 69

variance= n*p*(1-p)

.23*300*(1-.23)=53.1

standard deviation= sqrt(variance)

sqrt(53.13)= 7.3

Please help ASAPP!!!!!

Order the expressions from least value to greatest value.

Answers

Answer:

-4.8 • 3.2 < 4.2 divided by -3 < -2 3/5 - (-1 2/5) < 2 1/4 + (-1 2/5)

Hope it helps!

What is the answer? Thank you so much

Answers

C, basically what the person above me said, the exponent means you multiply that number by itself however many times the exponent says, so if it’s 3 you’d multiply it together 3 times

12.642 to the nearest tenth
29.10 to the nearest tenth
2,492 to the nearest tenth
3.44 to the nearest tenth
5,239 to the nearest tenth
89.43 to the nearest tenth

Answers

Answer:

12.6

Step-by-step explanation:

sorry only first one

3|-d + 2| + 1 if d = 4

Answers

Answer:

7

Step-by-step explanation:

reminder that the absolute value function always gives a positive result.

3 | - d + 2 | + 1 ( substitute d = 4 )

3 | - 4 + 2 | + 1

= 3 | - 2 | + 1

= 3 × 2 + 1

= 6 + 1

= 7

100 lamps have been prepared for a function. 3 litres of oil
were required to fill all these lamps completely. Estimate
the capacity of a lamp.

Answers

300 liters of oil is needed to fill the lamps

Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

Tabitha sent 22 text messages every day for 7 days. How many messages did she send total?
154 messages
176 messages
164 messages
144 messages

Answers

22 x 7 = 154
She sent 154 messages

Answer:

the answer is 154

Step-by-step explanation:

22x7=154

can someone help me solve this Y= q-k/n for q

Answers

Answer:

q=y + K/n

Step-by-step explanation:

PLEASEEE HELP ME WITH THIS QUESTION!!! I WILL MARK THE BEST ANSWER BRAINLIEST AND GIVE EXTRA POINTS!!

Answers

Answer:

Umm... I'd love to help but... you didnt post a question. Was that an accident?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The absolute value measures the distance from zero on a number line. A negative number will have the sign change,

Question 15 of 25

Solve the formula V = s2h for s.

O A. s = 1V - h

B. s=

V

C. s =

11 부

O D. s= Vh

Answers

Answer:

s = [tex]\sqrt{V/h}[/tex]

Step-by-step explanation:

divide by 'h', then take square root of 's' to get:

s = [tex]\sqrt{V/h}[/tex]

Cuál es la solución de la ecuación 9 x + 1 = 2x + 15

Answers

Answer:

X=2

Step-by-step explanation:

9x+1=2x+15

1. restar 1 de ambos lados  ejemplo: 9x+1-1=2x+15-1

2. simplificar Ejemplo: 9x=2x+14

3. restar 2x de ambos lados ejemplo: 9x-2x=2x-2x+14

4. simplificar ejemplo: 7x=14

5.divide ambos lados entre 7 ejemplo: 7x/7= 14/7

6.Simplificar ejemplo: x=2

How do I solve (a+b)(3a-b)(2a+7b)
Please help

Answers

Answer:

Simplifying

-5 + -1(3a + b) + (2a + -7b) = 0

-5 + (3a * -1 + b * -1) + (2a + -7b) = 0

-5 + (-3a + -1b) + (2a + -7b) = 0

Remove parenthesis around (2a + -7b)

-5 + -3a + -1b + 2a + -7b = 0

Reorder the terms:

-5 + -3a + 2a + -1b + -7b = 0

Combine like terms: -3a + 2a = -1a

-5 + -1a + -1b + -7b = 0

Combine like terms: -1b + -7b = -8b

-5 + -1a + -8b = 0

Solving

-5 + -1a + -8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1a + 5 + -8b = 0 + 5

Reorder the terms:

-5 + 5 + -1a + -8b = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1a + -8b = 0 + 5

-1a + -8b = 0 + 5

Combine like terms: 0 + 5 = 5

-1a + -8b = 5

Add '8b' to each side of the equation.

-1a + -8b + 8b = 5 + 8b

Combine like terms: -8b + 8b = 0

-1a + 0 = 5 + 8b

-1a = 5 + 8b

Divide each side by '-1'.

a = -5 + -8b

Simplifying

a = -5 + -8b

Step-by-step explanation:

This is 8th-grade math please help

Answers

FOR NUMBER ONE 7.25/per jersey
shipping=$9.99

7.25x 20=$145.00
145+9.99
total is $154.99

I need help, I'm stuck​

Answers

1: 12 * [tex]10^{9}[/tex]

         We can easily tell this is the answer here as 12 is larger than 4. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

2: 3 * [tex]10^{12}[/tex]

         Same here, we can easily tell this is the answer here as 3 is larger than 1.5. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

3: 6 * [tex]10^{5}[/tex]

         This one is slightly more complicated than the other two, but still not to difficult when you know what you're doing.

          A tip: 10 to the fourth power ([tex]10^{4}[/tex]) is 10,000. Aka, a 1 with four zeros!

For the first one, 20 has a zero, so we can take it and put it onto the 10th power. We know have:

2 * [tex]10^{5}[/tex] and 6 * [tex]10^{5}[/tex]

         Using the same method as #1 and #2, we can tell that 6 * [tex]10^{5}[/tex]  is the answer here!

I hope this helps, have a nice day :D

Jason deposits $1500 in an account that earns 6% interest compounded monthly. How much will Jason have after 10 years?

Answers

Compound interest formula:

Total = principal( 1 + interest rate/number of compounds per year)^ (compounds x years)

Total = 1500(1 + 0.06/12) ^ (12 x 10)

Answer: $2,729.10

95 people went to a convention in San Francisco. They took three large vans and 50 people traveled by car. How many people fit in each large van. Write an equation first, then solve

Answers

Answer:

15

Step-by-step explanation:

95 - 50 = 45

45/3 = 15

What is the y-intercept of the equation 2x + 4y = -16?
1. -16
2. -8
3. -4
4. -2

Answers

Answer:

3) -4

Step-by-step explanation:

Hi there!

2x + 4y = -16

The y-intercept occurs when x=0. Replace x with 0 and solve for y:

2(0) + 4y = -16

4y = -16

y = -4

Therefore, the y-intercept is -4.

I hope this helps!

A factory makes 84 toys robots in a day after they purchase new equipment now they make 205 robots a day

Answers

Based on the given information the percent gain is 144%.

Initial production rate = 84 toy robots per day

Present production rate = 205 robots per day

Using this formula

Percent gain=  Increase in production rate /Initial production rate× 100  

Where:

Increase in production rate = 205 - 84 =121

Initial production rate = 84 toy robots per day

Let plug in the formula

Percent gain=121/84×100

Percent gain=144%

Inconclusion the percent gain is 144%.

Learn more here:

https://brainly.com/question/20824377

THERES A PHOTO HELP ME PLS

Answers

The slope is : 24

The Y axis is : 345

help asap

Which ordered pairs are solutions to the inequality – 2x +y> -4? Select each correct answer (3, -1) (1, - 2) 12 (0, -5) (-1, 1) (0, 1)

Answers

the answer is (3,1)(1,-2)

Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?

Fill in the blanks with the correct values.

Answers

25 minutes

(6*1000)/240

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

Answer:

X = [tex]\sqrt{21}[/tex] or 4.5825756...

Step-by-step explanation:

[tex]A^{2} + B^{2} = C^{2}[/tex]

[tex]10^{2} + x^{2} = 11^{2}[/tex]

[tex]x^{2} = 11^{2} - 10^{2}[/tex]

[tex]x^{2} =121-100[/tex]

[tex]x^{2} =21[/tex]

x = [tex]\sqrt{21}[/tex]

Hope this helps!

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (11)² - (10)²

x² = 121 - 100

x² = 21

x = 4,6

What will be the total cost for 10 hours of work? ​

Answers

Answer:

Datas are not given

................

Provide context for the question?

please hlep i don’t get algebra at all

Answers

What do u need help with ?, trigonometry?

Solve for x

9x+7=30

round to the nearest tens digit.

Answers

X=2.5
9x=23
Divide both sides by nine and you get 2.555555555555555
So just say 2.5 recurring

PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.

Answers

Answer:

STEP1:

4 Simplify — 1

Equation at the end of step1:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+(4•a2))+2a)-4) (a3)

STEP2:Equation at the end of step 2

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+22a2)+2a)-4) (a3)

STEP 3 :

Equation at the end of step3:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-22a2)-4a)+16)•(5a2-4a-4) (a3)

STEP 4 :

4 Simplify —— a3

Equation at the end of step4:

4 (((((((2•(a3))+(4•(a2)))-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 5 :

Equation at the end of step5:

4 (((((((2•(a3))+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 6 :

Equation at the end of step6:

4 ((((((2a3+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP7:Rewriting the whole as an Equivalent Fraction

 7.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  a3  as the denominator :

2a3 + 4a2 - 2a (2a3 + 4a2 - 2a) • a3 2a3 + 4a2 - 2a = —————————————— = ————————————————————— 1 a3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP8:Pulling out like terms

 8.1     Pull out like factors :

   2a3 + 4a2 - 2a  =   2a • (a2 + 2a - 1) 

Trying to factor by splitting the middle term

 8.2     Factoring  a2 + 2a - 1 

The first term is,  a2  its coefficient is  1 .

The middle term is,  +2a  its coefficient is  2 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1 

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   2 .

     -1   +   1   =   0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

 8.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2a • (a2+2a-1) • a3 - (4) 2a6 + 4a5 - 2a4 - 4 ————————————————————————— = ——————————————————— a3 a3

Equation at the end of step8:

(2a6+4a5-2a4-4) (((———————————————-22a2)-4a)+16)•(5a2-4a-4) a3

STEP9:

Rewriting the whole as an Equivalent Fraction :

 9.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a3  as the denominator :

22a2 22a2 • a3 22a2 = ———— = ————————— 1 a3

STEP10:

Pulling out like terms :

 10.1     Pull out like factors :

   2a6 + 4a5 - 2a4 - 4  = 

  2 • (a6 + 2a5 - a4 - 2) 

Checking for a perfect cube :

 10.2    a6 + 2a5 - a4 - 2  is not a perfect cube

Trying to factor by pulling out :

 10.3      Factoring:  a6 + 2a5 - a4 - 2 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -a4 - 2 

Group 2:  a6 + 2a5 

Pull out from each group separately :

Group 1:   (a4 + 2) • (-1)

Group 2:   (a + 2) • (a5)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

 10.4    Find roots (zeroes) of :       F(a) = a6 + 2a5 - a4 - 2

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -2.

 The factor(s) are:

of the Leading Coefficient :  1

 of the Trailing Constant :

Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day

Answers

Answer:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

Give the x-intercept for the equation 6x + 3y = -9

Answers

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

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