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3 years ago

What is the common difference between successive terms in the sequence?

Mathematics

1 answer:

jonny [76]3 years ago

5 0

Answer:

0.1

Step-by-step explanation:

0.36-0.26=0.1

hope u understand

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Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,

Kazeer [188]

Answer: 2.66 × 10⁻¹³

Step-by-step explanation:

First, use the decay formula $A=A_oe^{kt}$ where

A is the final amount (amount left)
A₀ is the initial amount (amount you started with)
k is the rate of decay (you need to solve for this)
t is the time

Given:

A = 1/2(300) = 150
A₀ = 300
k = unknown
t = 28.8

$150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\$

Next, input the k-value and the new t-value to solve for A.

A = unknown
A₀ = 300
k = -0.0240676
t = 1440

$A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\$

5 0

3 years ago

Plz help asap thank you

attashe74 [19]

Answer:

Solved using the Exterior angle theorem.

2x-5+x-17 = 128

3x-22 = 128

3x = 150

x = 50

8 0

2 years ago

Hamburger is on sale for 20% off the normal $3.70 price. How much can you save per pound by buying the meat on sale? Explain you

Nitella [24]

Answer:

$0.75

Step-by-step explanation:

Given

Normal price - $3.70

If Hamburger is on sale for 20% off the normal price

The amount that can be saved will be 20% of $3.70

Amount that can be saved = 20/100 * 3.70

Amount that can be saved = 1/5 * 3.70

Amount that can be saved = 3.7/5

Amount that can be saved = 0.75

Hence the Amount that can be saved on $3.70 is $0.75

3 0

2 years ago

Mr. Abaya goy P700,000 loan for the expansion of his business payable monthly in 4years. How much os the monthly amortization if

Vaselesa [24]

The monthly amortization is P23,511.63

<h2>Compound interest</h2>

The formula for calculating the compound interest is expressed as:

$A = P(1+r/n)^t$

whrere:

P is the principal = P700,000
r is the rate = 12% = 0.12
t is the time = 4 years
n = 12

Substitute the parameters

$A = 700000(1+0.12/12)^{4(12)}\\
A = 700,000(1.01)^{48}\\
A =1,128,558.25$

Calculate the monthly payment:

Monthly payment = $\frac{1,128,558.25}{48} =23,511.63$

Hence the monthly amortization is P23,511.63

Learn more on compound interest here: brainly.com/question/24924853

8 0

2 years ago

HELP PLEASE 21 POINTS PLEASE HELP ME!!!! <3

Anna007 [38]

n 1 2 3 4 5 6

f(n) 1033 932 831 730 629 528

First term (a₁): 1033 Common difference (d): -101

Explicit rule: $a_{n} = 1134 - 101n$ Recursive rule: $a_{n} = a_{n-1} - 101$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 1033 - 101(n - 1)$

$a_{n} = 1033 - 101n + 101$

$a_{n} = 1134 - 101n$

***********************************************************************************

n 1 2 3 4 5 6

f(n) -39 -29 -19 -9 9 19

First term (a₁): -39 Common difference (d): +10

Explicit rule: $a_{n} = -49 + 10n$ Recursive rule: $a_{n} = a_{n-1} + 10$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = -39 + 10(n - 1)$

$a_{n} = -39 + 10n - 10$

$a_{n} = -49 + 10n$

***********************************************************************************

n 1 2 3 4 5 6

f(n) 3.75 2.5 1.25 0 -1.25 -2.5

First term (a₁): 3.75 Common difference (d): -1.25

Explicit rule: $a_{n} = 5 - 1.25n$ Recursive rule: $a_{n} = a_{n-1} - 1.25$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 3.75 - 1.25(n - 1)$

$a_{n} = 3.75 - 1.25n + 1.25$

$a_{n} = 5 - 1.25n$

6 0

3 years ago