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Shtirlitz [24]
3 years ago
10

√25- a + √9-a=? If √25-a - √9-a=2

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

8

Step-by-step explanation:

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Hunter invested $750 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 ​ % compounded continuously. London invested $7
kompoz [17]

Answer: $ 55

Step-by-step explanation:

When interest is compounded continuously, the final amount will be

A=Pe^{rt}

When interest is compounded daily, the final amount will be

A=P(1+\dfrac{r}{365})^{365t}

, where P= Principal , r = rate of interest , t = time

For Hunter , P= $750, r = 6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625

t = 18 years

A=750e^{0.06625(18)}=\$2471.48

For London , P= $750, r = 6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065

t = 18 years

A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24

Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55

Hence, Hunter would have $ 55 more than London in his account .

7 0
3 years ago
Write an equation in slope - intercept form, and then find the slope and y- intercept 3x-y=14
NeX [460]

Answer:

slope-intercept form: y = 3x - 14

slope: 3

y-intercept: -14

Step-by-step explanation:

To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.

"x" and "y" mean points that are on the line.

"m" is the slope.

"b" is the y-intercept.

Rearrange the equation to isolate "y"

3x - y = 14

3x - 3x - y = 14 - 3x          Subtract 3x from both sides

-y = 14 - 3x          Multiply both sides by -1.

y = -14 + 3x          Put "3x" in front of "-14" because it has the 'x'

y = 3x - 14          Looks like y = mx + b

State the "m" and "b".

m = 3     (Slope of the line)

b = -14    (y-intercept of the line)

Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.

3 0
3 years ago
What is the constant of proportionality?
exis [7]

Answer:

B or 5

Step-by-step explanation:

25/5 =5

100/20 = 5

4 0
3 years ago
Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. T
dolphi86 [110]

Answer:

Natalie cannot make it over the fence.

Step-by-step explanation:

After reading the statement, we must demostrate if the following inequation is possible, that is:

-16\cdot t^{2}+18\cdot t+5 \ge 12

After some algebraic handling we find this equivalent expression:

16\cdot t^{2}-18\cdot t +7\le 0 (1)

The polynomial is factorized by the Quadratic Formula:

\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0

Since all roots are complex, we conclude that Natalie cannot make it over the fence.

3 0
2 years ago
If r(t) = 2e3t, 2e−3t, 3te3t , find t(0), r''(0), and r'(t) · r''(t).
ololo11 [35]

Please Find Attachment

Download docx
5 0
3 years ago
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