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3 years ago

Write the next two terms of this arithmetic sequence: 15,11,7....

Mathematics

1 answer:

laiz [17]3 years ago

4 0

Step-by-step explanation:

step 1. The difference between successive terms is -4

step 2. 15, 11, 7, . .

step 3. The next term is 7 - 4 = 3

step 4. The next term is 3 - 4 = -1.

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The set of ordered pairs represented by the graph below can be described as which of the following

Aneli [31]

ANSWER

a relation only

EXPLANATION

The given graph shown in the attachment represents only a relation and not a function.

The reason is that, a vertical line drawn across this graph will intersect this graph at more than one point.

Since the graph fails to pass the vertical line test, the ordered pair represented by this graph represents a relation only.

6 0

3 years ago

Read 2 more answers

A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15

Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

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

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

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

$1500= 1200(1+\frac{0.02}{4})^{4t}$

Dividing both sides by 1200 and solving 0.02/4 = 0.005

$1.25= (1+0.005)^{4t}$

$1.25= (1.005)^{4t}$

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

$\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years$

8 0

4 years ago

The M&M’s website says that 24% of milk chocolate M&M’s are blue. Suppose that we buy 5 small packets of milk chocolate

SVEN [57.7K]

Answer:

The correct option is A: 24%, 24%, 24%, 24%, 24%

Step-by-step explanation:

Since the overall probability of M&M's produced is stated as 24% and the packets are filled with different colored candies at random, the probability of blue colored candies in each packet cannot be ascertained individually.

Hope that answers the question, have a great day!

7 0

3 years ago

The area of this circle is 840 m².

kaheart [24]

Answer:

420m

Step-by-step explanation:

serch

it up

3 0

3 years ago

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Find the length of the third side to the nearest tenth 6 and 9

oee [108]

Hello, i do believe that you are asking me to do pythagorean theorem.

I'm not too sure if we are solving hypotenuse or a/b so i'll do both.

$\boxed{\underline{Hypotenuse...}}\\\\\\A^2+B^2=C^2\\6^2+9^2=C^2\;\\36+81=117$

$\sqrt{117}=10.816\\Round-\;10.8$

$\boxed{\underline{a/b...}}\\\\\\A^2=C^2-B^2\\A^2=9^2-6^2\\A^2=81-36\\A^2=45\\\sqrt{45}= 6.708\\Round-\;6.7$

Hope it helps!

6 0

3 years ago