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

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