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frozen [14]
3 years ago
14

PLS HELP WILL MARK BRAINLIEST, PLS HURRY

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0

its B

just for that pfp, be my wifey <33333

irina1246 [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Mrs. Williams put $500 into a retirement account that earns 4% interest. How long will it take for there to be $3,500?
Lisa [10]

9514 1404 393

Answer:

  A = 500

  B = 1.04

  49.6 years

Step-by-step explanation:

We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...

  y = A·B^x

In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.

  3500 = 500·1.04^x . . . . . fill in known values

  7 = 1.04^x . . . . . . . . . . . . . divide by 500

  log(7) = x·log(1.04) . . . . . . take logarithms

  x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x

It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.

7 0
3 years ago
A balloon is at a height of 40 feet, and is descending at the constant rate of 5 ft/sec. At this instant, a bicyclist passes ben
11Alexandr11 [23.1K]

Answer:

el pepe

Step-by-step explanation:

4 0
3 years ago
Marvin invested 65% of his retirement account in stocks and 35% in gold. Marvin believes that the return to stocks over the next
ser-zykov [4K]

Answer:

1)

the mean rate of return is 17 %

the standard deviation of return is 17.06055

2)

the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325

Step-by-step explanation:

Given the data in the question;

1)

For the portfolio, the mean return and standard deviation are computed as follows;

Mean = Return = 0.65 × 10 + 0.35 × 30

= 6.5 + 10.5

= 17 %

Therefore, the mean rate of return is 17 %

Standard deviation will be;

σp = √( 0.65² × 15² + 0.35² × 40² )

= √( 0.4225 × 225 + 0.1225 × 1600 )

= √( 95.0625 + 196 )  

= √291.0625

= 17.06055  

Therefore, the standard deviation of return is 17.06055

2)  

probability that Marvin's portfolio will make at least 20% over the next 12 months.

P( X > 20 )

we convert to a standard normal variable;

Z = \frac{20-17}{17.06055} )

Z = 0.17

from z table, p-value is;

p( X < 20 ) = 0.5675

P( X > 20 ) 1 - 0.5675  = 0.4325

Therefore, the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325

5 0
3 years ago
A blood sample with a known glucose concentration of 102.0 mg/dL is used to test a new at home glucose monitor. The device is us
Soloha48 [4]

Answer:

The Absolute Error is the difference between the actual and measured value.

Absolute \:error = |Actual \:value - Measured \:value|

The Relative Error is the Absolute Error divided by the actual measurement.

Relative \:error = \frac{Absolute \:error}{Actual \:value}

We know that the actual value is 102.0 mg/dL.

To find the absolute error and relative error for each measurement made by the glucose monitor you must use the above definitions.

a) For a concentration of 104.5 mg/dL the absolute error and relative error are

Absolute \:error = \left|102-104.5\right|\\Absolute \:error =\left|-2.5\right|\\Absolute \:error =2.5

Relative \:error = \frac{2.5}{102.0}=0.0245

b) For a concentration of 96.2 mg/dL the absolute error and relative error are

Absolute \:error = \left|102.0-96.2\right|\\Absolute \:error =\left|5.8\right|\\Absolute \:error =5.8

Relative \:error = \frac{5.8}{102.0}=0.0569

c) For a concentration of 102.2 mg/dL the absolute error and relative error are

Absolute \:error = \left|102.0-102.2\right|\\Absolute \:error =\left|-0.2\right|\\Absolute \:error =0.2

Relative \:error = \frac{0.2}{102.0}=0.00196

d) For a concentration of 98.3 mg/dL the absolute error and relative error are

Absolute \:error = \left|102.0-98.3\right|\\Absolute \:error =\left|3.7\right|\\Absolute \:error =3.7

Relative \:error = \frac{3.7}{102.0}=0.0363

e) For a concentration of 101.8 mg/dL the absolute error and relative error are

Absolute \:error = \left|102.0-101.8\right|\\Absolute \:error =\left|0.2\right|\\Absolute \:error =0.2

Relative \:error = \frac{0.2}{102.0}=0.00196

4 0
3 years ago
PLEASE ANSWER ASAP, I NEED THE TERMS, NOT AN EQUATION!
Tpy6a [65]

Line y=-8 is 1, Horizontal.

Perpendicular would be 1, Vertical.

and finally the last one is 1, x=-4

Hope this helps! (:

6 0
4 years ago
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