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FromTheMoon [43]
3 years ago
6

The amount a money in the bank account can be expressed by the exponential equation A=300(1.005)^12t where A is the amount in do

llars and t is the time in years. About how many years will it take for the amount in the account to be more than $900?
Mathematics
1 answer:
sdas [7]3 years ago
3 0

Answer:

It will take more than 18.35 years for the amount in the account to be more than $900

Step-by-step explanation:

The amount in the bank account can be expressed by the exponential equation :

A=300(1.005)^{12t}

Where A is the amount in dollars

t is the time

We are supposed to find About how many years will it take for the amount in the account to be more than $900

So, 300(1.005)^{12t} >900

(1.005)^{12t} > \frac{900}{300}

(1.005)^{12t} > 3

t>18.35

Hence It will take more than 18.35 years for the amount in the account to be more than $900

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Point Q was rotated by -150° (the center of rotation is indicated). ​
DedPeter [7]

Answer:It’s A

Step-by-step explanation: the reason being is look from the origin(0,0) to the blue dot there is a circle of you think about try to imagine that circle crossing the whole place it couldn’t be C or D because that’s less than the imaginary circle and also 150 is close to 180. 180 is fully behind and A is close to 180 than B. Also remember, negative degrees is only clockwise and positive degrees are COUNTER. Hope it helps especially on the exam it also took me a bit to understand but it makes sense now.

4 0
3 years ago
In a study of 100 new cars, 29 are white. Find and g, where
sleet_krkn [62]

Question

<em>In a study of 100 new cars, 29 are white. Find p and q , where p is the proportion of new cars that are white. </em>

Answer:

p = 0.29  and q = 0.71

Step-by-step explanation:

Given

Total new cars =  100

White new cars = 29

Required

Determine p and q

From the question;

<em>p represents white new cars</em>

Hence;

p = 29

Note that;

p + q = 100

Substitute 29 for p

29 + q = 100

29 - 29 + q = 100 - 29

q = 100 - 29

q = 71

The proportion of p is calculate by dividing p by the total number of new cars (Same process is done for q)

For proportion of p

Proportion,\ p = \frac{p}{new\ cars}

Proportion,\ p = \frac{29}{100}

Proportion,\ p = 0.29

For proportion of q

Proportion,\ q = \frac{q}{new\ cars}

Proportion,\ q = \frac{71}{100}

Proportion,\ q = 0.71

6 0
3 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee
Minchanka [31]

Answer:

a) .033  b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z=\frac{X-M}{s} where

  • X is the miraculin produced (120,110,100)
  • M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
  • s is the standard deviation of the sample, which is 8.0

a)

z-score for 120 g miraculin is \frac{120-105.3}{8} =1.8375 then

P(x > 120) = P(z>1.8375) = 0.033

b)

z-score for 110 g miraculin is \frac{110-105.3}{8} = 0.5875

  z-score for 100 g miraculin is \frac{100-105.3}{8} = -0,6625

P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678

c)

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

\frac{a-105.3}{8} =-0.6625 which gives a= 100

8 0
3 years ago
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Likurg_2 [28]

Answer:

2×5-3×5×-5+3×2×5×-5

10-15-25+6×-25

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3 0
3 years ago
rite an equation with the solution x=20. the equation of the variable on both sides, a fraction coefficient on the left side, an
eimsori [14]
1/2x+10=5/10x+10 that's how you do it
5 0
3 years ago
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