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bekas [8.4K]
3 years ago
12

If 18 is 45% of a value, what is that value?

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

it is 40 :)))

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What value of x makes the equation 7x-2(3x+1)=4x-(3-x)-19 true?
nekit [7.7K]

Answer:

X=5

Step-by-step explanation:

3 0
3 years ago
If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

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

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

7 0
3 years ago
Break apart strategy for 518+372=
riadik2000 [5.3K]
518 + 372

= 500 + 18 + 300 + 72

= 800 + 18 + 72

= 800 + 90

= 890
8 0
3 years ago
Ebony uses unit cubes to build the rectangular prism below.
exis [7]

Answer:

24

Step-by-step explanation:

The length is 4, the width is 2, and the height is 3.

V=lwh=(2)(3)(4)=24

7 0
1 year ago
SERIOUSLY HELPPPPPPPP
AlekseyPX

9514 1404 393

Answer:

  B.

  • as x increases, f(x) decreases;
  • as x decreases,f(x) decreases

Step-by-step explanation:

The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...

  • as x increases, f(x) decreases;
  • as x decreases,f(x) decreases

_____

<em>Even degree</em> means the end behaviors are the same for both large and small x. <em>Negative leading coefficient</em> means the function value decreases for larger x.

8 0
3 years ago
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