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3 years ago

Find the nth term of the following sequence -5 ,-2, 3 ,10 ,19

Mathematics

2 answers:

Kryger [21]3 years ago

8 0

Answer:

Step-by-step explanation:

the sequence move in odd numbers firstly from -5 to -2 to +3 to 10 to 19

so the next term will be the next odd number which is 11

19 + 11

= 30

anygoal [31]3 years ago

7 0

Answer:9

Step-by-step explanation: the sequence move in odd numbers firstly from

-5 to -2 that is +3, -2 to 3 that is +5 and so on

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Jay places $3200 in an investment account earning 4.1% interest compounded weekly. How much money would he have in the account a

jasenka [17]

Answer:

A = $3,926.71

Step-by-step explanation:

Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years

To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?

Formula: $A = P(1 + r/n)^nt$

Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan

First, convert R as a percent to r as a decimal

r = R/100

r = 4.1/100

r = 0.041 rate per year,

Then solve the equation for A

A = P(1 + r/n) $^{nt}$

A = 3,200.00(1 + 0.041/12) $^{(12)(5)}$

A = 3,200.00(1 + 0.003416667) $^{(60)}$

A = $3,926.71

Hence, Jay would have $3,926.71 after 5 years is if he made no deposits or withdrawals during that time.

3 0

3 years ago

PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of

Pachacha [2.7K]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{4^3}{3}$

$V = 2*3.14 * \dfrac{64}{3}$

$V = \dfrac{401.92}{3}$

$\boxed{ V_{hemisphere} \approx 133.97\:cm^3}$

What is the approximate volume of this figure?

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

$\boxed{\boxed{\boxed{V = 334.93\:cm^3 \to Volume\:of\:the\:figure \approx 335\:cm^3 }}}\end{array}}\qquad\quad\checkmark$

Answer:

The volume of the figure is approximately 335 cm³

_______________________

I Hope this helps, greetings ... Dexteright02! =)

8 0

3 years ago

Read 2 more answers

Use words to explain why the two equations below are equivalent

DiKsa [7]

Answer:

These equations are equivalent because after you solve the equation the answer are the same. For example 2+2 and 3+1 are equivalent. They both equal four. In these problems are x=3 and x=3.5 they are the same beause of the answer on problem 2 6-x. That makes them both have the same answer

Step-by-step explanation:

7x-9=12

+9=+9

7x=21

/7=/7

x=3

4 0

3 years ago

Deshun went to visit zakia and he brought 9 video games, which is 10% of his collection. using the number line above, determine

Elena-2011 [213]

10% of what is 9...
0.10x = 9
x = 9/0.10
x = 90.....he has 90 all together

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3 years ago

Express -3/6 as a rational number with denominator 20

Usimov [2.4K]

Answer:

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3 years ago