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lorasvet [3.4K]
3 years ago
15

Twenty minus a number times eight is equal to five more than seven times the same number

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0
I’m not sure though, ok.
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Interest rates are expected to be 10% for the next 3 years and then to fall to 8% for the following 3 years. How much will an in
iVinArrow [24]

Answer:

<em>Below is a breakdown of the results of these different compound periods with a 10% nominal interest rate: Semi-annual = 10.250% Quarterly = 10.381% Monthly = 10.471%</em>

6 0
3 years ago
Sylvia invested 500 in an account compounded annually with an interest rate of 8%. Manuel invested 600 in an account with a comp
il63 [147K]

Answer:

Sylvia's investment would double first

Step-by-step explanation:

The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:

Sylvia investment:

Sylvia's investment would double in 9 years' time  (72/8)

Manuel's investment"

Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)

From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first

8 0
3 years ago
The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. W
Mice21 [21]

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

\mathbf{P(A) = 0.48}

\mathbf{P(A\ and\ B) = 0.21}

\mathbf{P(A\ or\ B) = 0.89}

To calculate the probability of event B, we make use of the following formula

\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}

So, we have:

\mathbf{0.21 = 0.48 + P(B) - 0.89}

Collect like terms

\mathbf{P(B)= -0.48  +0.21 + 0.89}

\mathbf{P(B)= 0.62}

Hence, the probability of event B is 0.62

Read more about probabilities at:

brainly.com/question/11234923

7 0
3 years ago
Find the exact length of the curve. x = 1 + 6t2, y = 4 + 4t3, 0 ≤ t ≤ 3
vovangra [49]

x=1+6t^2\implies\dfrac{\mathrm dx}{\mathrm dt}=12t

y=4+4t^3\implies\dfrac{\mathrm dy}{\mathrm dt}=12t^2

The length of the curve C is given by

\displaystyle\int_C\mathrm ds=\int_0^3\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

=\displaystyle\int_0^3\sqrt{144t^2+144t^4}\,\mathrm dt

=\displaystyle12\int_0^3t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3 2t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3\sqrt{1+t^2}\,\mathrm d(1+t^2)

=6\cdot\dfrac23(1+t^2)^{3/2}\bigg|_0^3

=4(10^{3/2}-1)

=40\sqrt{10}-4

8 0
3 years ago
If AJKL ~ AQRS,<br> find the value of x:
Alexxandr [17]

Answer:

14

Step-by-step explanation:

24/36=(x+4)/(2x-1)

3 0
3 years ago
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