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2 years ago

What is 5/6 - 3/8 A. 1/3 B. 9/16 C. 1/12 D. 11/24

Mathematics

2 answers:

Olegator [25]2 years ago

6 0

Answer:

The correct answer is D

Step-by-step explanation:

kondaur [170]2 years ago

3 0

5/6=20/24. 3/8=9/24. 20/24-9/24=11/24 so D

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What is 90 words in 2 minutes as a unit rate

Gemiola [76]

Answer:

Levi saved 3/5 of the amount he needs to buy a 75 dollar video game. he earns 7.50 per hour working at the pizza shopping town how many hours will he need to work to pay for the rest of the game show all of your work to solve this problem explain the Steps you used! thank you 6th grade form please

Step-by-step explanation:

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2 years ago

Read 2 more answers

Help plz (filling in 20 characters)

PilotLPTM [1.2K]

4. as a decimal = 1.8 then to a percent = 180%
5. it's already a decimal so it = 0.15%
6. also already a decimal so it = 275%

to get from a decimal to a percent, move the decimal 2 spaces to the right and add a percent symbol at the end

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2 years ago

Solve for x: −2x + 5 < 7 (1 point) x > −1 x < −1 x > −6 x < −6

docker41 [41]

Answer:

x < −1

Step-by-step explanation:

-2x + 5 < 7

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-2x < 2
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1 year ago

Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals

s2008m [1.1K]

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

A = $4916
P = $4000
r = 6.4% = 0.064
n = 4 (quarterly)

Substitute the given values into the formula and solve for t:

$\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}$

$\implies \sf 4916=4000\left(1.016\right)^{4t}$

$\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}$

$\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}$

$\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)$

$\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}$

$\implies \sf t=3.247594892...$

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

Learn more about compound interest here:

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1 year ago

Consider the polynomials p1(t) = 1 + t , p2(t) = 1 -t , and p3(t) = 2 (for all t). By inspection, write a linear dependence rela

emmasim [6.3K]

Answer:

$\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}$

Step-by-step explanation:

Given the polynomials:

$p_1(t) = 1 + t\\ p_2(t) = 1 -t\\p_3(t) = 2\\$

On Inspection

$(1+t)+(1-t)=1+1+t-t=2\\$Therefore:\\p_1(t)+p_2(t)=p_3(t)$

By the Spanning Theorem

If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) $S' \subseteq S$ that has the same span.

Therefore, since $p_3(t)=p_1(t)+p_2(t)$

$Span\{p_1,p_2,p_3\}=Span\{p_1,p_2\}$

$p_1$ and p_2$ are linearly independent because $p_1$ cannot be written in terms of $p_2$ .

Therefore, $\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}$ as required.$

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2 years ago