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Fantom [35]
3 years ago
6

Compute the missing data in the table for the following exponential function

Mathematics
2 answers:
babunello [35]3 years ago
4 0

Answer:

The correct option is:

d. 1

Step-by-step explanation:

x :   0  1        2      3       4       5      6  

f(x): ?  1.01  1.02  1.03  1.04  1.05  1.06

Clearly, we can see that the f(x) is increasing as the x is increasing and uniformly

at 1 its value is 1.01

at 2 its value is 1.02

at 3 its value is 1.03 and so on

Hence, at 0 its value will be 1.00

Hence, the correct option is:

d. 1

kramer3 years ago
3 0

Answer:

d. 1

Step-by-step explanation:

The base for this "exponential" function is sufficiently close to 1 that the function looks linear. The value corresponding to x=0 seems to be 1.00. Rounded to tenths, it is 1.0.

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The square of a negative number increased by 6 times the number is 72. Find the number.
Karo-lina-s [1.5K]

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

<u>Check</u>

(6 + 6) × 6 = 72

12 × 6 = 72

8 0
3 years ago
Adult male lion weights are normally distributed, with a mean of 420 pounds and a standard deviation of 17 pounds. Approximately
SVETLANKA909090 [29]

Answer:

3.92%

Step-by-step explanation:

First calculate Z:

Z= (x - mean)/(st. dev.) \\Z = (450 - 420)/17 \\Z= 1.76

The percentage for a Z of 1.76 is 96.08%.

That means that all lions up to Z = 1.76 are equivalent to 96.08% but you are searching for the lions above Z = 1.76, then 100 - 96.08 = 3.92%

6 0
3 years ago
Read 2 more answers
Which ratio correctly compares 5 yards to 6 feet?
Alexus [3.1K]
1 yard  is 3 feet so 5 yards is 15 feet. 
answer: 15/6
5 0
3 years ago
The radius of a circle is 9 inches. What is the circle's area?<br> Use 3.14 for ​.
Anna007 [38]

Answer:

<u>254.34 in²</u>

Step-by-step explanation:

<u>Area of a circle</u>

  • A = πr²
  1. <u>r = radius of the circle</u>

<u>Solving</u>

  • A = 3.14 x (9)²
  • A = 3.14 x 81
  • A = <u>254.34 in²</u>
5 0
2 years ago
Read 2 more answers
Nevaeh invested $660 in an account paying an interest rate of 3% compounded
iris [78.8K]

Answer:

19

Step-by-step explanation:

Rate 1: 3  

4

1

​  

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3  

8

1

​  

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}

Calculate Final Amount for Nevaeh

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e  

0.0325(14)

 

Plug in

A=660e^{0.455}

A=660e  

0.455

 

Multiply

A=1040.2744

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}

Calculate Final Amount for Jonathan

 

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+  

12

0.03125

​  

)  

12(14)

 

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)  

168

 

Simplify

A=1021.6468

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

18.6276

\$ 19

$19

4 0
3 years ago
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